100725931 has 2 divisors, whose sum is σ = 100725932. Its totient is φ = 100725930.

The previous prime is 100725887. The next prime is 100725941. The reversal of 100725931 is 139527001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100725931 - 2⁹ = 100725419 is a prime.

It is a super-2 number, since 2×100725931² = 20291426351633522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100725931.

It is not a weakly prime, because it can be changed into another prime (100725941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50362965 + 50362966.

It is an arithmetic number, because the mean of its divisors is an integer number (50362966).

Almost surely, 2^100725931 is an apocalyptic number.

100725931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100725931 is an equidigital number, since it uses as much as digits as its factorization.

100725931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 100725931 is about 10036.2309160362. The cubic root of 100725931 is about 465.2793342270.

The spelling of 100725931 in words is "one hundred million, seven hundred twenty-five thousand, nine hundred thirty-one".