105598063067904 has 162 divisors, whose sum is σ = 334660150259708. Its totient is φ = 31999412966400.

The previous prime is 105598063067831. The next prime is 105598063067927. The reversal of 105598063067904 is 409760360895501.

105598063067904 is a `hidden beast` number, since 1 + 0 + 5 + 598 + 0 + 6 + 30 + 6 + 7 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×105598063067904² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189111682 + ... + 189669249.

Almost surely, 2^{105598063067904} is an apocalyptic number.

It is an amenable number.

105598063067904 is an abundant number, since it is smaller than the sum of its proper divisors (229062087191804).

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

105598063067904 is a wasteful number, since it uses less digits than its factorization.

105598063067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378780975 (or 378780947 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 105598063067904 in words is "one hundred five trillion, five hundred ninety-eight billion, sixty-three million, sixty-seven thousand, nine hundred four".