100607031 has 24 divisors (see below), whose sum is σ = 166368384. Its totient is φ = 57390480.

The previous prime is 100607027. The next prime is 100607041. The reversal of 100607031 is 130706001.

It is not a de Polignac number, because 100607031 - 2² = 100607027 is a prime.

It is a super-2 number, since 2×100607031² = 20243549373269922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100606995 and 100607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100607021) 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 23 ways as a sum of consecutive naturals, for example, 51136 + ... + 53066.

It is an arithmetic number, because the mean of its divisors is an integer number (6932016).

Almost surely, 2^100607031 is an apocalyptic number.

100607031 is a deficient number, since it is larger than the sum of its proper divisors (65761353).

100607031 is a wasteful number, since it uses less digits than its factorization.

100607031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100607031 is about 10030.3056284442. The cubic root of 100607031 is about 465.0961854443.

The spelling of 100607031 in words is "one hundred million, six hundred seven thousand, thirty-one".