100005631 has 8 divisors (see below), whose sum is σ = 109189584. Its totient is φ = 90837120.

The previous prime is 100005623. The next prime is 100005637. The reversal of 100005631 is 136500001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100005631 - 2³ = 100005623 is a prime.

It is a super-2 number, since 2×100005631² = 20002252463416322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12855 + ... + 19111.

It is an arithmetic number, because the mean of its divisors is an integer number (13648698).

Almost surely, 2^100005631 is an apocalyptic number.

100005631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100005631 is a deficient number, since it is larger than the sum of its proper divisors (9183953).

100005631 is a wasteful number, since it uses less digits than its factorization.

100005631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7721.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 100005631 is about 10000.2815460366. The cubic root of 100005631 is about 464.1675954600.

Adding to 100005631 its reverse (136500001), we get a palindrome (236505632).

The spelling of 100005631 in words is "one hundred million, five thousand, six hundred thirty-one".