100010031 has 32 divisors (see below), whose sum is σ = 157344768. Its totient is φ = 55818240.

The previous prime is 100010023. The next prime is 100010033. The reversal of 100010031 is 130010001.

It is not a de Polignac number, because 100010031 - 2³ = 100010023 is a prime.

It is a super-2 number, since 2×100010031² = 20004012601241922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24471 + ... + 28263.

It is an arithmetic number, because the mean of its divisors is an integer number (4917024).

Almost surely, 2^100010031 is an apocalyptic number.

100010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010031 is a deficient number, since it is larger than the sum of its proper divisors (57334737).

100010031 is a wasteful number, since it uses less digits than its factorization.

100010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100010031 is about 10000.5015374230. The cubic root of 100010031 is about 464.1744027682.

Adding to 100010031 its reverse (130010001), we get a palindrome (230020032).

The spelling of 100010031 in words is "one hundred million, ten thousand, thirty-one".