100885640625 has 315 divisors, whose sum is σ = 233079145455. Its totient is φ = 41926500000.

The previous prime is 100885640591. The next prime is 100885640641. The reversal of 100885640625 is 526046588001.

The square root of 100885640625 is 317625.

It is a perfect power (a square), and thus also a powerful number.

100885640625 is a `hidden beast` number, since 1 + 0 + 0 + 88 + 564 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 88385506209 + 12500134416 = 297297^2 + 111804^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 100885640625 - 2¹³ = 100885632433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 9171421870 + ... + 9171421880.

Almost surely, 2^100885640625 is an apocalyptic number.

100885640625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100885640625 is the 317625-th square number.

100885640625 is the 158813-rd centered octagonal number.

It is an amenable number.

100885640625 is an abundant number, since it is smaller than the sum of its proper divisors (132193504830).

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

100885640625 is an frugal number, since it uses more digits than its factorization.

100885640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 100885640625 in words is "one hundred billion, eight hundred eighty-five million, six hundred forty thousand, six hundred twenty-five".