100904699025 has 189 divisors, whose sum is σ = 204266003427. Its totient is φ = 49401705600.

The previous prime is 100904699017. The next prime is 100904699029. The reversal of 100904699025 is 520996409001.

The square root of 100904699025 is 317655.

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

100904699025 is a `hidden beast` number, since 10 + 0 + 90 + 469 + 90 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 83572449921 + 17332249104 = 289089^2 + 131652^2 .

It is not a de Polignac number, because 100904699025 - 2³ = 100904699017 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100904699029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 557484435 + ... + 557484615.

Almost surely, 2^100904699025 is an apocalyptic number.

100904699025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100904699025 is the 317655-th square number.

100904699025 is the 158828-th centered octagonal number.

It is an amenable number.

100904699025 is an abundant number, since it is smaller than the sum of its proper divisors (103361304402).

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

100904699025 is an frugal number, since it uses more digits than its factorization.

100904699025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 100904699025 in words is "one hundred billion, nine hundred four million, six hundred ninety-nine thousand, twenty-five".