100104044414031 has 18 divisors (see below), whose sum is σ = 168202033812072. Its totient is φ = 57202311093480.

The previous prime is 100104044414027. The next prime is 100104044414071. The reversal of 100104044414031 is 130414440401001.

100104044414031 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 40 + 444 + 140 + 31 = 666.

It is not a de Polignac number, because 100104044414031 - 2² = 100104044414027 is a prime.

It is a super-2 number, since 2×100104044414031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100104044413986 and 100104044414004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100104044414071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113496648555 + ... + 113496649436.

It is an arithmetic number, because the mean of its divisors is an integer number (9344557434004).

Almost surely, 2^{100104044414031} is an apocalyptic number.

100104044414031 is a deficient number, since it is larger than the sum of its proper divisors (68097989398041).

100104044414031 is a wasteful number, since it uses less digits than its factorization.

100104044414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226993298011 (or 226993298001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100104044414031 its reverse (130414440401001), we get a palindrome (230518484815032).

The spelling of 100104044414031 in words is "one hundred trillion, one hundred four billion, forty-four million, four hundred fourteen thousand, thirty-one".