Search a number
-
+
105107453644404 = 22361257955676393
BaseRepresentation
bin10111111001100000111100…
…011100000000111001110100
3111210011011201011102100212110
4113321200330130000321310
5102234040031113110104
61011313410403451020
731065522453620541
oct2771407434007164
9453134634370773
10105107453644404
1130543903489132
12b956641686a70
134685789cc7303
141bd5329501bc8
15c241457a2e89
hex5f983c700e74

105107453644404 has 48 divisors (see below), whose sum is σ = 249367887558720. Its totient is φ = 34448097258240.

The previous prime is 105107453644363. The next prime is 105107453644409. The reversal of 105107453644404 is 404446354701501.

It is a happy number.

It is a super-2 number, since 2×1051074536444042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105107453644409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25950369 + ... + 29726024.

It is an arithmetic number, because the mean of its divisors is an integer number (5195164324140).

Almost surely, 2105107453644404 is an apocalyptic number.

It is an amenable number.

105107453644404 is an abundant number, since it is smaller than the sum of its proper divisors (144260433914316).

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

105107453644404 is a wasteful number, since it uses less digits than its factorization.

105107453644404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55679040 (or 55679038 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 105107453644404 in words is "one hundred five trillion, one hundred seven billion, four hundred fifty-three million, six hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 2579 5158 7737 10316 15474 30948 157319 314638 471957 629276 943914 1887828 55676393 111352786 167029179 222705572 334058358 668116716 3396259973 6792519946 10188779919 13585039892 20377559838 40755119676 143589417547 287178835094 430768252641 574357670188 861536505282 1723073010564 8758954470367 17517908940734 26276863411101 35035817881468 52553726822202 105107453644404