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106235965368 = 23341323548309
BaseRepresentation
bin110001011110000101…
…0000010111110111000
3101011012202201012120000
41202330022002332320
53220032401342433
6120445405233000
710450424543361
oct1427412027670
9334182635500
10106235965368
1141066484195
121870a262760
13a030745a90
1451db334b68
152b6b933113
hex18bc282fb8

106235965368 has 160 divisors (see below), whose sum is σ = 334381370400. Its totient is φ = 31266715392.

The previous prime is 106235965357. The next prime is 106235965393. The reversal of 106235965368 is 863569532601.

It is a happy number.

106235965368 is a `hidden beast` number, since 1 + 0 + 623 + 5 + 9 + 6 + 5 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×1062359653682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80403 + ... + 467906.

It is an arithmetic number, because the mean of its divisors is an integer number (2089883565).

Almost surely, 2106235965368 is an apocalyptic number.

106235965368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106235965368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167190685200).

106235965368 is an abundant number, since it is smaller than the sum of its proper divisors (228145405032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106235965368 is a wasteful number, since it uses less digits than its factorization.

106235965368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548363 (or 548350 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 106235965368 in words is "one hundred six billion, two hundred thirty-five million, nine hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 81 92 104 108 117 138 156 162 184 207 216 234 276 299 312 324 351 414 468 552 598 621 648 702 828 897 936 1053 1196 1242 1404 1656 1794 1863 2106 2392 2484 2691 2808 3588 3726 4212 4968 5382 7176 7452 8073 8424 10764 14904 16146 21528 24219 32292 48438 64584 96876 193752 548309 1096618 1644927 2193236 3289854 4386472 4934781 6579708 7128017 9869562 12611107 13159416 14256034 14804343 19739124 21384051 25222214 28512068 29608686 37833321 39478248 42768102 44413029 50444428 57024136 59217372 64152153 75666642 85536204 88826058 100888856 113499963 118434744 128304306 151333284 163944391 171072408 177652116 192456459 226999926 256608612 302666568 327888782 340499889 355304232 384912918 453999852 491833173 513217224 577369377 655777564 680999778 769825836 907999704 983666346 1021499667 1154738754 1311555128 1361999556 1475499519 1539651672 1967332692 2042999334 2309477508 2723999112 2950999038 3934665384 4085998668 4426498557 4618955016 5901998076 8171997336 8852997114 11803996152 13279495671 17705994228 26558991342 35411988456 53117982684 106235965368