105105863975600 has 30 divisors (see below), whose sum is σ = 252516838202340. Its totient is φ = 42042345590080.

The previous prime is 105105863975531. The next prime is 105105863975627. The reversal of 105105863975600 is 6579368501501.

It is a super-2 number, since 2×105105863975600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131382329570 + ... + 131382330369.

It is an arithmetic number, because the mean of its divisors is an integer number (8417227940078).

Almost surely, 2^{105105863975600} is an apocalyptic number.

105105863975600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105863975600 is an abundant number, since it is smaller than the sum of its proper divisors (147410974226740).

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

105105863975600 is a wasteful number, since it uses less digits than its factorization.

105105863975600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262764659957 (or 262764659946 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 56.

The spelling of 105105863975600 in words is "one hundred five trillion, one hundred five billion, eight hundred sixty-three million, nine hundred seventy-five thousand, six hundred".