102105002044031 has 24 divisors (see below), whose sum is σ = 119640783548160. Its totient is φ = 86880896170992.

The previous prime is 102105002044009. The next prime is 102105002044039. The reversal of 102105002044031 is 130440200501201.

It is a de Polignac number, because none of the positive numbers 2^k-102105002044031 is a prime.

It is a super-2 number, since 2×102105002044031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102105002043988 and 102105002044006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105002044039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73435370 + ... + 74812856.

It is an arithmetic number, because the mean of its divisors is an integer number (4985032647840).

Almost surely, 2^{102105002044031} is an apocalyptic number.

102105002044031 is a deficient number, since it is larger than the sum of its proper divisors (17535781504129).

102105002044031 is a wasteful number, since it uses less digits than its factorization.

102105002044031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388523 (or 1388516 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 102105002044031 its reverse (130440200501201), we get a palindrome (232545202545232).

The spelling of 102105002044031 in words is "one hundred two trillion, one hundred five billion, two million, forty-four thousand, thirty-one".