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105353755 = 5132124679
BaseRepresentation
bin1100100011110…
…01001000011011
321100020112011221
412101321020123
5203432310010
614242032511
72416330543
oct621711033
9240215157
10105353755
1154518921
122b348737
1318a99600
14ddc6323
1593b0dda
hex647921b

105353755 has 12 divisors (see below), whose sum is σ = 136898640. Its totient is φ = 77799072.

The previous prime is 105353753. The next prime is 105353761. The reversal of 105353755 is 557353501.

It is not a de Polignac number, because 105353755 - 21 = 105353753 is a prime.

It is a super-2 number, since 2×1053537552 = 22198827385200050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105353755.

It is not an unprimeable number, because it can be changed into a prime (105353753) 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 11 ways as a sum of consecutive naturals, for example, 61495 + ... + 63184.

It is an arithmetic number, because the mean of its divisors is an integer number (11408220).

Almost surely, 2105353755 is an apocalyptic number.

105353755 is a deficient number, since it is larger than the sum of its proper divisors (31544885).

105353755 is a wasteful number, since it uses less digits than its factorization.

105353755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124710 (or 124697 counting only the distinct ones).

The product of its (nonzero) digits is 39375, while the sum is 34.

The square root of 105353755 is about 10264.1977280253. The cubic root of 105353755 is about 472.2986161579.

The spelling of 105353755 in words is "one hundred five million, three hundred fifty-three thousand, seven hundred fifty-five".

Divisors: 1 5 13 65 169 845 124679 623395 1620827 8104135 21070751 105353755