105973479904 has 96 divisors (see below), whose sum is σ = 225642412800. Its totient is φ = 48811284480.

The previous prime is 105973479863. The next prime is 105973479907. The reversal of 105973479904 is 409974379501.

It is a super-2 number, since 2×105973479904² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105973479907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5358867 + ... + 5378605.

It is an arithmetic number, because the mean of its divisors is an integer number (2350441800).

Almost surely, 2^105973479904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105973479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112821206400).

105973479904 is an abundant number, since it is smaller than the sum of its proper divisors (119668932896).

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

105973479904 is a wasteful number, since it uses less digits than its factorization.

105973479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19976 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

The spelling of 105973479904 in words is "one hundred five billion, nine hundred seventy-three million, four hundred seventy-nine thousand, nine hundred four".