105245585 has 16 divisors (see below), whose sum is σ = 132247296. Its totient is φ = 80253888.

The previous prime is 105245563. The next prime is 105245593. The reversal of 105245585 is 585542501.

105245585 = T₁₂₉₅ + T₁₂₉₆ + ... + T₁₄₀₉.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105245585 is a prime.

It is a super-2 number, since 2×105245585² = 22153266323984450, 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 15 ways as a sum of consecutive naturals, for example, 35012 + ... + 37898.

It is an arithmetic number, because the mean of its divisors is an integer number (8265456).

Almost surely, 2^105245585 is an apocalyptic number.

It is an amenable number.

105245585 is a deficient number, since it is larger than the sum of its proper divisors (27001711).

105245585 is a wasteful number, since it uses less digits than its factorization.

105245585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232.

The product of its (nonzero) digits is 40000, while the sum is 35.

The square root of 105245585 is about 10258.9270881511. The cubic root of 105245585 is about 472.1369195450.

The spelling of 105245585 in words is "one hundred five million, two hundred forty-five thousand, five hundred eighty-five".