105449776864 has 24 divisors (see below), whose sum is σ = 218530788840. Its totient is φ = 49949894016.

The previous prime is 105449776849. The next prime is 105449776877. The reversal of 105449776864 is 468677944501.

It is a super-2 number, since 2×105449776864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86717959 + ... + 86719174.

It is an arithmetic number, because the mean of its divisors is an integer number (9105449535).

Almost surely, 2^105449776864 is an apocalyptic number.

It is an amenable number.

105449776864 is an abundant number, since it is smaller than the sum of its proper divisors (113081011976).

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

105449776864 is a wasteful number, since it uses less digits than its factorization.

105449776864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173437162 (or 173437154 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 105449776864 in words is "one hundred five billion, four hundred forty-nine million, seven hundred seventy-six thousand, eight hundred sixty-four".