100264868353125 has 432 divisors, whose sum is σ = 222464990704320. Its totient is φ = 43265275200000.

The previous prime is 100264868353123. The next prime is 100264868353127. The reversal of 100264868353125 is 521353868462001.

100264868353125 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 6 + 4 + 8 + 6 + 83 + 531 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (100264868353123) and next prime (100264868353127).

It is not a de Polignac number, because 100264868353125 - 2¹ = 100264868353123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100264868353123) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7357802562 + ... + 7357816188.

It is an arithmetic number, because the mean of its divisors is an integer number (514965256260).

Almost surely, 2^{100264868353125} is an apocalyptic number.

100264868353125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100264868353125 is an abundant number, since it is smaller than the sum of its proper divisors (122200122351195).

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

100264868353125 is a wasteful number, since it uses less digits than its factorization.

100264868353125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972 (or 13942 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 100264868353125 in words is "one hundred trillion, two hundred sixty-four billion, eight hundred sixty-eight million, three hundred fifty-three thousand, one hundred twenty-five".