100417431725 has 24 divisors (see below), whose sum is σ = 135711543072. Its totient is φ = 73260964800.

The previous prime is 100417431707. The next prime is 100417431727. The reversal of 100417431725 is 527134714001.

It is not a de Polignac number, because 100417431725 - 2¹⁴ = 100417415341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100417431727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834331 + ... + 1888280.

It is an arithmetic number, because the mean of its divisors is an integer number (5654647628).

Almost surely, 2^100417431725 is an apocalyptic number.

It is an amenable number.

100417431725 is a deficient number, since it is larger than the sum of its proper divisors (35294111347).

100417431725 is a wasteful number, since it uses less digits than its factorization.

100417431725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722717 (or 3722712 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 100417431725 in words is "one hundred billion, four hundred seventeen million, four hundred thirty-one thousand, seven hundred twenty-five".