15105700117001 has 12 divisors (see below), whose sum is σ = 16384276405980. Its totient is φ = 13920522220800.

The previous prime is 15105700116971. The next prime is 15105700117031. The reversal of 15105700117001 is 10071100750151.

It is an interprime number because it is at equal distance from previous prime (15105700116971) and next prime (15105700117031).

It can be written as a sum of positive squares in 6 ways, for example, as 227361126976 + 14878338990025 = 476824^2 + 3857245^2 .

It is not a de Polignac number, because 15105700117001 - 2³⁰ = 15104626375177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15105700117031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74260196 + ... + 74463333.

It is an arithmetic number, because the mean of its divisors is an integer number (1365356367165).

Almost surely, 2^{15105700117001} is an apocalyptic number.

It is an amenable number.

15105700117001 is a deficient number, since it is larger than the sum of its proper divisors (1278576288979).

15105700117001 is a wasteful number, since it uses less digits than its factorization.

15105700117001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148724156 (or 148724143 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 29.

Adding to 15105700117001 its reverse (10071100750151), we get a palindrome (25176800867152).

The spelling of 15105700117001 in words is "fifteen trillion, one hundred five billion, seven hundred million, one hundred seventeen thousand, one".