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106502170520 = 23517241649879
BaseRepresentation
bin110001100110000000…
…1100010011110011000
3101011220022121211101002
41203030001202132120
53221104023424040
6120532035044132
710460136340604
oct1431401423630
9334808554332
10106502170520
1141192776049
1218783440648
13a073940515
14522482c504
152b84eb8a15
hex18cc062798

106502170520 has 64 divisors (see below), whose sum is σ = 254778955200. Its totient is φ = 39928504320.

The previous prime is 106502170513. The next prime is 106502170529. The reversal of 106502170520 is 25071205601.

It is a super-3 number, since 3×1065021705203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106502170529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161060 + ... + 488819.

It is an arithmetic number, because the mean of its divisors is an integer number (3980921175).

Almost surely, 2106502170520 is an apocalyptic number.

106502170520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106502170520 is an abundant number, since it is smaller than the sum of its proper divisors (148276784680).

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

106502170520 is a wasteful number, since it uses less digits than its factorization.

106502170520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650148 (or 650144 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 106502170520 in words is "one hundred six billion, five hundred two million, one hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 482 680 964 1205 1928 2410 4097 4820 8194 9640 16388 20485 32776 40970 81940 163880 649879 1299758 2599516 3249395 5199032 6498790 11047943 12997580 22095886 25995160 44191772 55239715 88383544 110479430 156620839 220958860 313241678 441917720 626483356 783104195 1252966712 1566208390 2662554263 3132416780 5325108526 6264833560 10650217052 13312771315 21300434104 26625542630 53251085260 106502170520