100032031 has 6 divisors (see below), whose sum is σ = 109952696. Its totient is φ = 90938100.

The previous prime is 100032019. The next prime is 100032059. The reversal of 100032031 is 130230001.

It is not a de Polignac number, because 100032031 - 2¹⁹ = 99507743 is a prime.

It is a super-2 number, since 2×100032031² = 20012814451969922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100031999 and 100032017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413235 + ... + 413476.

Almost surely, 2^100032031 is an apocalyptic number.

100032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100032031 is a deficient number, since it is larger than the sum of its proper divisors (9920665).

100032031 is an equidigital number, since it uses as much as digits as its factorization.

100032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826733 (or 826722 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 100032031 is about 10001.6014217724. The cubic root of 100032031 is about 464.2084363149.

Adding to 100032031 its reverse (130230001), we get a palindrome (230262032).

The spelling of 100032031 in words is "one hundred million, thirty-two thousand, thirty-one".