100381940625 has 24 divisors (see below), whose sum is σ = 167292542592. Its totient is φ = 53537030000.

The previous prime is 100381940611. The next prime is 100381940647. The reversal of 100381940625 is 526049183001.

It is not a de Polignac number, because 100381940625 - 2³¹ = 98234456977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5344329 + ... + 5363078.

It is an arithmetic number, because the mean of its divisors is an integer number (6970522608).

Almost surely, 2^100381940625 is an apocalyptic number.

100381940625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100381940625 is a deficient number, since it is larger than the sum of its proper divisors (66910601967).

100381940625 is an frugal number, since it uses more digits than its factorization.

100381940625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707435 (or 10707415 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 100381940625 in words is "one hundred billion, three hundred eighty-one million, nine hundred forty thousand, six hundred twenty-five".