105479606920 has 32 divisors (see below), whose sum is σ = 251289653400. Its totient is φ = 39709969408.

The previous prime is 105479606887. The next prime is 105479606951. The reversal of 105479606920 is 29606974501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75055177444 + 30424429476 = 273962^2 + 174426^2 .

It is a super-2 number, since 2×105479606920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77557855 + ... + 77559214.

Almost surely, 2^105479606920 is an apocalyptic number.

105479606920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105479606920 is an abundant number, since it is smaller than the sum of its proper divisors (145810046480).

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

105479606920 is a wasteful number, since it uses less digits than its factorization.

105479606920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155117097 (or 155117093 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 105479606920 in words is "one hundred five billion, four hundred seventy-nine million, six hundred six thousand, nine hundred twenty".