105079400916 has 48 divisors (see below), whose sum is σ = 280549933440. Its totient is φ = 29986450560.

The previous prime is 105079400911. The next prime is 105079400929. The reversal of 105079400916 is 619004970501.

It is a super-2 number, since 2×105079400916² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105079400911) 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 15 ways as a sum of consecutive naturals, for example, 684855 + ... + 824126.

It is an arithmetic number, because the mean of its divisors is an integer number (5844790280).

Almost surely, 2^105079400916 is an apocalyptic number.

It is an amenable number.

105079400916 is an abundant number, since it is smaller than the sum of its proper divisors (175470532524).

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

105079400916 is a wasteful number, since it uses less digits than its factorization.

105079400916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509824 (or 1509822 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 105079400916 in words is "one hundred five billion, seventy-nine million, four hundred thousand, nine hundred sixteen".