105672585 has 32 divisors (see below), whose sum is σ = 178560000. Its totient is φ = 53217216.

The previous prime is 105672577. The next prime is 105672587. The reversal of 105672585 is 585276501.

It is not a de Polignac number, because 105672585 - 2³ = 105672577 is a prime.

It is a super-2 number, since 2×105672585² = 22333390441164450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105672587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170406 + ... + 171024.

It is an arithmetic number, because the mean of its divisors is an integer number (5580000).

Almost surely, 2^105672585 is an apocalyptic number.

105672585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105672585 is a deficient number, since it is larger than the sum of its proper divisors (72887415).

105672585 is a wasteful number, since it uses less digits than its factorization.

105672585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 105672585 is about 10279.7171653699. The cubic root of 105672585 is about 472.7745723640.

The spelling of 105672585 in words is "one hundred five million, six hundred seventy-two thousand, five hundred eighty-five".