100000031 has 8 divisors (see below), whose sum is σ = 100767744. Its totient is φ = 99235800.

The previous prime is 100000007. The next prime is 100000037. The reversal of 100000031 is 130000001.

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

It is a cyclic number.

It is not a de Polignac number, because 100000031 - 2²⁶ = 32891167 is a prime.

It is a super-2 number, since 2×100000031² = 20000012400001922, 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 = 99999970 and 100000024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86306 + ... + 87456.

It is an arithmetic number, because the mean of its divisors is an integer number (12595968).

Almost surely, 2^100000031 is an apocalyptic number.

100000031 is a deficient number, since it is larger than the sum of its proper divisors (767713).

100000031 is a wasteful number, since it uses less digits than its factorization.

100000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 100000031 is about 10000.0015499999. The cubic root of 100000031 is about 464.1589313244.

Adding to 100000031 its reverse (130000001), we get a palindrome (230000032).

The spelling of 100000031 in words is "one hundred million, thirty-one", and thus it is an aban number.