105384552456 has 32 divisors (see below), whose sum is σ = 267393644640. Its totient is φ = 34603882368.

The previous prime is 105384552443. The next prime is 105384552509. The reversal of 105384552456 is 654255483501.

It is a super-2 number, since 2×105384552456² (a number of 23 digits) contains 22 as substring.

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, 32767221 + ... + 32770436.

It is an arithmetic number, because the mean of its divisors is an integer number (8356051395).

Almost surely, 2^105384552456 is an apocalyptic number.

It is an amenable number.

105384552456 is an abundant number, since it is smaller than the sum of its proper divisors (162009092184).

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

105384552456 is a wasteful number, since it uses less digits than its factorization.

105384552456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65537733 (or 65537729 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 105384552456 in words is "one hundred five billion, three hundred eighty-four million, five hundred fifty-two thousand, four hundred fifty-six".