105872515 has 32 divisors (see below), whose sum is σ = 156311424. Its totient is φ = 67184640.

The previous prime is 105872483. The next prime is 105872521. The reversal of 105872515 is 515278501.

It is not a de Polignac number, because 105872515 - 2⁵ = 105872483 is a prime.

It is a super-2 number, since 2×105872515² = 22417978864850450, which contains 22 as substring.

It is a Duffinian number.

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, 34837 + ... + 37753.

It is an arithmetic number, because the mean of its divisors is an integer number (4884732).

Almost surely, 2^105872515 is an apocalyptic number.

105872515 is a deficient number, since it is larger than the sum of its proper divisors (50438909).

105872515 is a wasteful number, since it uses less digits than its factorization.

105872515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007.

The product of its (nonzero) digits is 14000, while the sum is 34.

The square root of 105872515 is about 10289.4370594314. The cubic root of 105872515 is about 473.0725439139.

The spelling of 105872515 in words is "one hundred five million, eight hundred seventy-two thousand, five hundred fifteen".