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106514886764 = 2211131094094177
BaseRepresentation
bin110001100110011001…
…0000011000001101100
3101011221012112212210002
41203030302003001230
53221120302334024
6120533211403432
710460352412316
oct1431462030154
9334835485702
10106514886764
1141199970a40
1218787753578
13a076473520
1452263bc7b6
152b8617b6ae
hex18ccc8306c

106514886764 has 96 divisors (see below), whose sum is σ = 221591092800. Its totient is φ = 44162703360.

The previous prime is 106514886763. The next prime is 106514886767. The reversal of 106514886764 is 467688415601.

It is a super-2 number, since 2×1065148867642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106514886763) 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, 25498244 + ... + 25502420.

It is an arithmetic number, because the mean of its divisors is an integer number (2308240550).

Almost surely, 2106514886764 is an apocalyptic number.

It is an amenable number.

106514886764 is an abundant number, since it is smaller than the sum of its proper divisors (115076206036).

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

106514886764 is a wasteful number, since it uses less digits than its factorization.

106514886764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 106514886764 in words is "one hundred six billion, five hundred fourteen million, eight hundred eighty-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 109 143 218 286 409 436 572 818 1199 1417 1636 2398 2834 4177 4499 4796 5317 5668 8354 8998 10634 15587 16708 17996 21268 31174 44581 45947 54301 58487 62348 89162 91894 108602 116974 178324 183788 217204 233948 455293 490391 579553 597311 910586 980782 1159106 1194622 1708393 1821172 1961564 2318212 2389244 3416786 5008223 5918809 6375083 6833572 10016446 11837618 12750166 18792323 20032892 22209109 23675236 25500332 37584646 44418218 65106899 75169292 88836436 130213798 186214837 244300199 260427596 372429674 488600398 744859348 977200796 2048363207 2420792881 4096726414 4841585762 8193452828 9683171524 26628721691 53257443382 106514886764