100150096225 has 27 divisors (see below), whose sum is σ = 125264713107. Its totient is φ = 79430183280.

The previous prime is 100150096219. The next prime is 100150096237. The reversal of 100150096225 is 522690051001.

The square root of 100150096225 is 316465.

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

It can be written as a sum of positive squares in only one way, i.e., 36054034641 + 64096061584 = 189879^2 + 253172^2 .

It is not a de Polignac number, because 100150096225 - 2⁷ = 100150096097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 264248086 + ... + 264248464.

Almost surely, 2^100150096225 is an apocalyptic number.

100150096225 is the 316465-th square number.

100150096225 is the 158233-rd centered octagonal number.

It is an amenable number.

100150096225 is a deficient number, since it is larger than the sum of its proper divisors (25114616882).

100150096225 is an frugal number, since it uses more digits than its factorization.

100150096225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 100150096225 in words is "one hundred billion, one hundred fifty million, ninety-six thousand, two hundred twenty-five".