100675236027025 has 27 divisors (see below), whose sum is σ = 137218602791739. Its totient is φ = 73217952126000.

The previous prime is 100675236027017. The next prime is 100675236027053. The reversal of 100675236027025 is 520720632576001.

The square root of 100675236027025 is 10033705.

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., 36243084969729 + 64432151057296 = 6020223^2 + 8026964^2 .

It is not a de Polignac number, because 100675236027025 - 2³ = 100675236027017 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 551762560 + ... + 551944990.

Almost surely, 2^{100675236027025} is an apocalyptic number.

100675236027025 is the 10033705-th square number.

100675236027025 is the 5016853-rd centered octagonal number.

It is an amenable number.

100675236027025 is a deficient number, since it is larger than the sum of its proper divisors (36543366764714).

100675236027025 is an frugal number, since it uses more digits than its factorization.

100675236027025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364894 (or 182447 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 100675236027025 in words is "one hundred trillion, six hundred seventy-five billion, two hundred thirty-six million, twenty-seven thousand, twenty-five".