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105531537336 = 23340031098463
BaseRepresentation
bin110001001001000101…
…0110111011110111000
3101002101200012112221220
41202102022313132320
53212112033143321
6120251443032040
710424112160341
oct1422212673670
9332350175856
10105531537336
114083488aa65
121855236b620
139c4a816064
1451719670c8
152b29b889c6
hex18922b77b8

105531537336 has 32 divisors (see below), whose sum is σ = 263894991360. Its totient is φ = 35168359392.

The previous prime is 105531537317. The next prime is 105531537337. The reversal of 105531537336 is 633735135501.

105531537336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055315373362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105531537337) 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 7 ways as a sum of consecutive naturals, for example, 453160 + ... + 645303.

It is an arithmetic number, because the mean of its divisors is an integer number (8246718480).

Almost surely, 2105531537336 is an apocalyptic number.

It is an amenable number.

105531537336 is an abundant number, since it is smaller than the sum of its proper divisors (158363454024).

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

105531537336 is a wasteful number, since it uses less digits than its factorization.

105531537336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102475 (or 1102471 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 42.

The spelling of 105531537336 in words is "one hundred five billion, five hundred thirty-one million, five hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 4003 8006 12009 16012 24018 32024 48036 96072 1098463 2196926 3295389 4393852 6590778 8787704 13181556 26363112 4397147389 8794294778 13191442167 17588589556 26382884334 35177179112 52765768668 105531537336