100040066031 has 16 divisors (see below), whose sum is σ = 134939507456. Its totient is φ = 65919479616.

The previous prime is 100040065973. The next prime is 100040066041. The reversal of 100040066031 is 130660040001.

It is not a de Polignac number, because 100040066031 - 2³⁰ = 98966324207 is a prime.

It is a super-2 number, since 2×100040066031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100040065989 and 100040066007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100040066041) 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, 147910 + ... + 471123.

It is an arithmetic number, because the mean of its divisors is an integer number (8433719216).

Almost surely, 2^100040066031 is an apocalyptic number.

100040066031 is a deficient number, since it is larger than the sum of its proper divisors (34899441425).

100040066031 is a wasteful number, since it uses less digits than its factorization.

100040066031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619662.

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 100040066031 in words is "one hundred billion, forty million, sixty-six thousand, thirty-one".