100219730625 has 315 divisors, whose sum is σ = 221730318117. Its totient is φ = 45130932000.

The previous prime is 100219730617. The next prime is 100219730629. The reversal of 100219730625 is 526037912001.

The square root of 100219730625 is 316575.

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

100219730625 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 9 + 7 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7857226881 + 92362503744 = 88641^2 + 303912^2 .

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

It is not a de Polignac number, because 100219730625 - 2³ = 100219730617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100219730625.

It is not an unprimeable number, because it can be changed into a prime (100219730629) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1495816842 + ... + 1495816908.

Almost surely, 2^100219730625 is an apocalyptic number.

100219730625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100219730625 is the 316575-th square number.

100219730625 is the 158288-th centered octagonal number.

It is an amenable number.

100219730625 is an abundant number, since it is smaller than the sum of its proper divisors (121510587492).

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

100219730625 is an frugal number, since it uses more digits than its factorization.

100219730625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 100219730625 by its sum of digits (36), we get a square (3607910302500 = 1899450²).

The spelling of 100219730625 in words is "one hundred billion, two hundred nineteen million, seven hundred thirty thousand, six hundred twenty-five".