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105588806431 is a prime number
BaseRepresentation
bin110001001010110010…
…1010101001100011111
3101002112122222010101111
41202111211111030133
53212221213301211
6120301250322451
710425406021543
oct1422545251437
9332478863344
10105588806431
1140864146099
1218569589427
139c59647cb4
1451793d3a23
152b2ebec421
hex189595531f

105588806431 has 2 divisors, whose sum is σ = 105588806432. Its totient is φ = 105588806430.

The previous prime is 105588806347. The next prime is 105588806441. The reversal of 105588806431 is 134608885501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105588806431 - 217 = 105588675359 is a prime.

It is a super-2 number, since 2×1055888064312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105588806441) 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 as a sum of consecutive naturals, namely, 52794403215 + 52794403216.

It is an arithmetic number, because the mean of its divisors is an integer number (52794403216).

Almost surely, 2105588806431 is an apocalyptic number.

105588806431 is a deficient number, since it is larger than the sum of its proper divisors (1).

105588806431 is an equidigital number, since it uses as much as digits as its factorization.

105588806431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921600, while the sum is 49.

The spelling of 105588806431 in words is "one hundred five billion, five hundred eighty-eight million, eight hundred six thousand, four hundred thirty-one".