104501166525 has 192 divisors, whose sum is σ = 225059880960. Its totient is φ = 46548172800.

The previous prime is 104501166509. The next prime is 104501166577. The reversal of 104501166525 is 525661105401.

104501166525 is a `hidden beast` number, since 10 + 4 + 5 + 0 + 116 + 6 + 525 = 666.

It is not a de Polignac number, because 104501166525 - 2⁴ = 104501166509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104501166525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57072360 + ... + 57074190.

It is an arithmetic number, because the mean of its divisors is an integer number (1172186880).

Almost surely, 2^104501166525 is an apocalyptic number.

104501166525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104501166525 is an abundant number, since it is smaller than the sum of its proper divisors (120558714435).

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

104501166525 is a wasteful number, since it uses less digits than its factorization.

104501166525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 104501166525 in words is "one hundred four billion, five hundred one million, one hundred sixty-six thousand, five hundred twenty-five".