101139900625 has 15 divisors (see below), whose sum is σ = 126394355703. Its totient is φ = 80905560000.

The previous prime is 101139900607. The next prime is 101139900629. The reversal of 101139900625 is 526009931101.

It is a happy number.

The square root of 101139900625 is 318025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 36102660049 + 65037240576 = 190007^2 + 255024^2 .

It is not a de Polignac number, because 101139900625 - 2⁵ = 101139900593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101139900629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7944265 + ... + 7956985.

Almost surely, 2^101139900625 is an apocalyptic number.

101139900625 is the 318025-th square number.

101139900625 is the 159013-rd centered octagonal number.

It is an amenable number.

101139900625 is a deficient number, since it is larger than the sum of its proper divisors (25254455078).

101139900625 is an frugal number, since it uses more digits than its factorization.

101139900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25462 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 101139900625 in words is "one hundred one billion, one hundred thirty-nine million, nine hundred thousand, six hundred twenty-five".