105125725600 has 72 divisors (see below), whose sum is σ = 293300790048. Its totient is φ = 36043104000.

The previous prime is 105125725591. The next prime is 105125725643. The reversal of 105125725600 is 6527521501.

It is a super-2 number, since 2×105125725600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9380626 + ... + 9391825.

It is an arithmetic number, because the mean of its divisors is an integer number (4073622084).

Almost surely, 2^105125725600 is an apocalyptic number.

105125725600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105125725600 is an abundant number, since it is smaller than the sum of its proper divisors (188175064448).

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

105125725600 is a wasteful number, since it uses less digits than its factorization.

105125725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18772478 (or 18772465 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 105125725600 in words is "one hundred five billion, one hundred twenty-five million, seven hundred twenty-five thousand, six hundred".