105456678128 has 40 divisors (see below), whose sum is σ = 206041812480. Its totient is φ = 52286456000.

The previous prime is 105456678091. The next prime is 105456678143. The reversal of 105456678128 is 821876654501.

It is a super-2 number, since 2×105456678128² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105456678128.

It is a congruent number.

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, 853793 + ... + 969471.

It is an arithmetic number, because the mean of its divisors is an integer number (5151045312).

Almost surely, 2^105456678128 is an apocalyptic number.

It is an amenable number.

105456678128 is a deficient number, since it is larger than the sum of its proper divisors (100585134352).

105456678128 is a wasteful number, since it uses less digits than its factorization.

105456678128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116165 (or 116159 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 105456678128 in words is "one hundred five billion, four hundred fifty-six million, six hundred seventy-eight thousand, one hundred twenty-eight".