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106745361860 = 225193711367187
BaseRepresentation
bin110001101101010000…
…1001111010111000100
3101012112021020020011202
41203122201033113010
53222103303034420
6121012123322032
710466151414344
oct1433241172704
9335467206152
10106745361860
11412a7a79325
1218830980318
13a0b213ab17
145248c54d24
152b9b505575
hex18da84f5c4

106745361860 has 96 divisors (see below), whose sum is σ = 244489069440. Its totient is φ = 39008729088.

The previous prime is 106745361859. The next prime is 106745361869. The reversal of 106745361860 is 68163547601.

It is a super-2 number, since 2×1067453618602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106745361869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555187 + ... + 1622373.

It is an arithmetic number, because the mean of its divisors is an integer number (2546761140).

Almost surely, 2106745361860 is an apocalyptic number.

106745361860 is a gapful number since it is divisible by the number (10) 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 106745361860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122244534720).

106745361860 is an abundant number, since it is smaller than the sum of its proper divisors (137743707580).

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

106745361860 is a wasteful number, since it uses less digits than its factorization.

106745361860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67365 (or 67363 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 106745361860 in words is "one hundred six billion, seven hundred forty-five million, three hundred sixty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 113 148 185 190 226 370 380 452 565 703 740 1130 1406 2147 2260 2812 3515 4181 4294 7030 8362 8588 10735 14060 16724 20905 21470 41810 42940 67187 79439 83620 134374 158878 268748 317756 335935 397195 671870 794390 1276553 1343740 1588780 2485919 2553106 4971838 5106212 6382765 7592131 9943676 12429595 12765530 15184262 24859190 25531060 30368524 37960655 47232461 49718380 75921310 94464922 144250489 151842620 188929844 236162305 280908847 288500978 472324610 561817694 577001956 721252445 944649220 1123635388 1404544235 1442504890 2809088470 2885009780 5337268093 5618176940 10674536186 21349072372 26686340465 53372680930 106745361860