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105060051 = 3317435323
BaseRepresentation
bin1100100001100…
…01011011010011
321022200121022000
412100301123103
5203343410201
614231445043
72413665345
oct620613323
9238617260
10105060051
1154338198
122b226783
13189c5a15
14dd4b295
159353d86
hex64316d3

105060051 has 32 divisors (see below), whose sum is σ = 168664320. Its totient is φ = 64374912.

The previous prime is 105060041. The next prime is 105060077. The reversal of 105060051 is 150060501.

105060051 is a `hidden beast` number, since 10 + 5 + 0 + 600 + 51 = 666.

It is not a de Polignac number, because 105060051 - 27 = 105059923 is a prime.

It is a super-2 number, since 2×1050600512 = 22075228632245202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105060041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17076 + ... + 22398.

It is an arithmetic number, because the mean of its divisors is an integer number (5270760).

Almost surely, 2105060051 is an apocalyptic number.

105060051 is a deficient number, since it is larger than the sum of its proper divisors (63604269).

105060051 is a wasteful number, since it uses less digits than its factorization.

105060051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105060051 is about 10249.8805358892. The cubic root of 105060051 is about 471.8593181111.

The spelling of 105060051 in words is "one hundred five million, sixty thousand, fifty-one".

Divisors: 1 3 9 17 27 43 51 129 153 387 459 731 1161 2193 5323 6579 15969 19737 47907 90491 143721 228889 271473 686667 814419 2060001 2443257 3891113 6180003 11673339 35020017 105060051