100745934025 has 81 divisors (see below), whose sum is σ = 142930684533. Its totient is φ = 70387732800.

The previous prime is 100745934011. The next prime is 100745934031. The reversal of 100745934025 is 520439547001.

It is a happy number.

The square root of 100745934025 is 317405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1384807369 + 99361126656 = 37213^2 + 315216^2 .

It is not a de Polignac number, because 100745934025 - 2¹¹ = 100745931977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 506260876 + ... + 506261074.

Almost surely, 2^100745934025 is an apocalyptic number.

100745934025 is the 317405-th square number.

100745934025 is the 158703-rd centered octagonal number.

It is an amenable number.

100745934025 is a deficient number, since it is larger than the sum of its proper divisors (42184750508).

100745934025 is an equidigital number, since it uses as much as digits as its factorization.

100745934025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 100745934025 in words is "one hundred billion, seven hundred forty-five million, nine hundred thirty-four thousand, twenty-five".