105279166400 has 84 divisors (see below), whose sum is σ = 259117749480. Its totient is φ = 42101068800.

The previous prime is 105279166367. The next prime is 105279166417. The reversal of 105279166400 is 4661972501.

It is a super-2 number, since 2×105279166400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10585430 + ... + 10595370.

Almost surely, 2^105279166400 is an apocalyptic number.

105279166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105279166400 is an abundant number, since it is smaller than the sum of its proper divisors (153838583080).

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

105279166400 is an equidigital number, since it uses as much as digits as its factorization.

105279166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16582 (or 16567 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 105279166400 in words is "one hundred five billion, two hundred seventy-nine million, one hundred sixty-six thousand, four hundred".