105540035315 has 32 divisors (see below), whose sum is σ = 148827974400. Its totient is φ = 70833640320.

The previous prime is 105540035291. The next prime is 105540035369. The reversal of 105540035315 is 513530045501.

It is a de Polignac number, because none of the positive numbers 2^k-105540035315 is a prime.

It is a super-2 number, since 2×105540035315² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3085376 + ... + 3119394.

It is an arithmetic number, because the mean of its divisors is an integer number (4650874200).

Almost surely, 2^105540035315 is an apocalyptic number.

105540035315 is a deficient number, since it is larger than the sum of its proper divisors (43287939085).

105540035315 is a wasteful number, since it uses less digits than its factorization.

105540035315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38387.

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 105540035315 in words is "one hundred five billion, five hundred forty million, thirty-five thousand, three hundred fifteen".