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106563635053 = 43131100918749
BaseRepresentation
bin110001100111110110…
…0000000011101101101
3101012001121021112212021
41203033230000131231
53221220242310203
6120542112310141
710461513644521
oct1431754003555
9335047245767
10106563635053
1141214437287
121879bb42351
13a0835b0c75
14522ca6bd81
152b8a5aa5bd
hex18cfb0076d

106563635053 has 16 divisors (see below), whose sum is σ = 109989000000. Its totient is φ = 103182992640.

The previous prime is 106563635047. The next prime is 106563635069. The reversal of 106563635053 is 350536365601.

It is not a de Polignac number, because 106563635053 - 213 = 106563626861 is a prime.

It is a super-2 number, since 2×1065636350532 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106563635153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5674323 + ... + 5693071.

It is an arithmetic number, because the mean of its divisors is an integer number (6874312500).

Almost surely, 2106563635053 is an apocalyptic number.

It is an amenable number.

106563635053 is a deficient number, since it is larger than the sum of its proper divisors (3425364947).

106563635053 is a wasteful number, since it uses less digits than its factorization.

106563635053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932.

The product of its (nonzero) digits is 729000, while the sum is 43.

The spelling of 106563635053 in words is "one hundred six billion, five hundred sixty-three million, six hundred thirty-five thousand, fifty-three".

Divisors: 1 43 131 1009 5633 18749 43387 132179 806207 2456119 5683697 18917741 105613117 813462863 2478224071 106563635053