100737378810225 has 18 divisors (see below), whose sum is σ = 180431838491606. Its totient is φ = 53726602032000.

The previous prime is 100737378810169. The next prime is 100737378810227. The reversal of 100737378810225 is 522018873737001.

100737378810225 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 37 + 378 + 8 + 10 + 225 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1543726731024 + 99193652079201 = 1242468^2 + 9959601^2 .

It is not a de Polignac number, because 100737378810225 - 2⁶ = 100737378810161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100737378810227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223860841576 + ... + 223860842025.

Almost surely, 2^{100737378810225} is an apocalyptic number.

100737378810225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100737378810225 is a deficient number, since it is larger than the sum of its proper divisors (79694459681381).

100737378810225 is a wasteful number, since it uses less digits than its factorization.

100737378810225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447721683617 (or 447721683609 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 100737378810225 in words is "one hundred trillion, seven hundred thirty-seven billion, three hundred seventy-eight million, eight hundred ten thousand, two hundred twenty-five".