105479496056088 has 192 divisors, whose sum is σ = 357423069369600. Its totient is φ = 27300461149440.

The previous prime is 105479496056063. The next prime is 105479496056111. The reversal of 105479496056088 is 880650694974501.

105479496056088 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 7 + 9 + 4 + 9 + 6 + 0 + 5 + 608 + 8 = 666.

It is a super-2 number, since 2×105479496056088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32045683 + ... + 35183586.

It is an arithmetic number, because the mean of its divisors is an integer number (1861578486300).

Almost surely, 2^{105479496056088} is an apocalyptic number.

105479496056088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105479496056088 is an abundant number, since it is smaller than the sum of its proper divisors (251943573313512).

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

105479496056088 is a wasteful number, since it uses less digits than its factorization.

105479496056088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67229582 (or 67229575 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 105479496056088 in words is "one hundred five trillion, four hundred seventy-nine billion, four hundred ninety-six million, fifty-six thousand, eighty-eight".