100312431 has 16 divisors (see below), whose sum is σ = 134999904. Its totient is φ = 66253824.

The previous prime is 100312423. The next prime is 100312447. The reversal of 100312431 is 134213001.

It is not a de Polignac number, because 100312431 - 2³ = 100312423 is a prime.

It is a super-3 number, since 3×100312431³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100312431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297495 + ... + 297831.

It is an arithmetic number, because the mean of its divisors is an integer number (8437494).

Almost surely, 2^100312431 is an apocalyptic number.

100312431 is a deficient number, since it is larger than the sum of its proper divisors (34687473).

100312431 is a wasteful number, since it uses less digits than its factorization.

100312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100312431 is about 10015.6093673825. The cubic root of 100312431 is about 464.6417728913.

Adding to 100312431 its reverse (134213001), we get a palindrome (234525432).

The spelling of 100312431 in words is "one hundred million, three hundred twelve thousand, four hundred thirty-one".