101074385025 has 72 divisors (see below), whose sum is σ = 192860260320. Its totient is φ = 50453694720.

The previous prime is 101074384979. The next prime is 101074385029. The reversal of 101074385025 is 520583470101.

101074385025 is a `hidden beast` number, since 1 + 0 + 107 + 43 + 8 + 502 + 5 = 666.

It is not a de Polignac number, because 101074385025 - 2⁹ = 101074384513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101074385029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212397 + ... + 497253.

Almost surely, 2^101074385025 is an apocalyptic number.

101074385025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101074385025 is a deficient number, since it is larger than the sum of its proper divisors (91785875295).

101074385025 is a wasteful number, since it uses less digits than its factorization.

101074385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284975 (or 284967 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 101074385025 in words is "one hundred one billion, seventy-four million, three hundred eighty-five thousand, twenty-five".