100080031 has 2 divisors, whose sum is σ = 100080032. Its totient is φ = 100080030.

The previous prime is 100079983. The next prime is 100080047. The reversal of 100080031 is 130080001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100080031 - 2⁹ = 100079519 is a prime.

It is a super-2 number, since 2×100080031² = 20032025209921922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100079993 and 100080020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100080731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50040015 + 50040016.

It is an arithmetic number, because the mean of its divisors is an integer number (50040016).

Almost surely, 2^100080031 is an apocalyptic number.

100080031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100080031 is an equidigital number, since it uses as much as digits as its factorization.

100080031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100080031 is about 10004.0007497001. Note that the first 3 decimals coincide. The cubic root of 100080031 is about 464.2826740088.

The spelling of 100080031 in words is "one hundred million, eighty thousand, thirty-one".