100159931 has 2 divisors, whose sum is σ = 100159932. Its totient is φ = 100159930.

The previous prime is 100159919. The next prime is 100159933. The reversal of 100159931 is 139951001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100159931 - 2¹⁰ = 100158907 is a prime.

It is a super-2 number, since 2×100159931² = 20064023555849522, which contains 22 as substring.

Together with 100159933, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100159894 and 100159903.

It is not a weakly prime, because it can be changed into another prime (100159933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50079965 + 50079966.

It is an arithmetic number, because the mean of its divisors is an integer number (50079966).

Almost surely, 2^100159931 is an apocalyptic number.

100159931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100159931 is an equidigital number, since it uses as much as digits as its factorization.

100159931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1215, while the sum is 29.

The square root of 100159931 is about 10007.9933553135. The cubic root of 100159931 is about 464.4061962127.

The spelling of 100159931 in words is "one hundred million, one hundred fifty-nine thousand, nine hundred thirty-one".