100540031 has 2 divisors, whose sum is σ = 100540032. Its totient is φ = 100540030.

The previous prime is 100540019. The next prime is 100540049. The reversal of 100540031 is 130045001.

It is a weak prime.

It is an emirp because it is prime and its reverse (130045001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100540031 is a prime.

It is a super-2 number, since 2×100540031² = 20216595666961922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100539988 and 100540015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100540081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270015 + 50270016.

It is an arithmetic number, because the mean of its divisors is an integer number (50270016).

Almost surely, 2^100540031 is an apocalyptic number.

100540031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540031 is an equidigital number, since it uses as much as digits as its factorization.

100540031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 100540031 is about 10026.9651939159. The cubic root of 100540031 is about 464.9929177632.

Adding to 100540031 its reverse (130045001), we get a palindrome (230585032).

The spelling of 100540031 in words is "one hundred million, five hundred forty thousand, thirty-one".