102790387172745 has 48 divisors (see below), whose sum is σ = 184346392473360. Its totient is φ = 52921781348352.

The previous prime is 102790387172731. The next prime is 102790387172761. The reversal of 102790387172745 is 547271783097201.

102790387172745 is a `hidden beast` number, since 1 + 0 + 279 + 0 + 3 + 87 + 17 + 274 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26279730893376 + 76510656279369 = 5126376^2 + 8747037^2 .

It is not a de Polignac number, because 102790387172745 - 2¹⁵ = 102790387139977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420517 + ... + 14344253.

It is an arithmetic number, because the mean of its divisors is an integer number (3840549843195).

Almost surely, 2^{102790387172745} is an apocalyptic number.

102790387172745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102790387172745 is a deficient number, since it is larger than the sum of its proper divisors (81556005300615).

102790387172745 is a wasteful number, since it uses less digits than its factorization.

102790387172745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929434 (or 13929431 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 102790387172745 in words is "one hundred two trillion, seven hundred ninety billion, three hundred eighty-seven million, one hundred seventy-two thousand, seven hundred forty-five".