105114585 has 16 divisors (see below), whose sum is σ = 168315840. Its totient is φ = 56016960.

The previous prime is 105114571. The next prime is 105114601. The reversal of 105114585 is 585411501.

It is not a de Polignac number, because 105114585 - 2⁸ = 105114329 is a prime.

It is a super-2 number, since 2×105114585² = 22098151959444450, which contains 22 as substring.

It is a Curzon 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, 27915 + ... + 31455.

It is an arithmetic number, because the mean of its divisors is an integer number (10519740).

Almost surely, 2^105114585 is an apocalyptic number.

105114585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105114585 is a deficient number, since it is larger than the sum of its proper divisors (63201255).

105114585 is a wasteful number, since it uses less digits than its factorization.

105114585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528.

The product of its (nonzero) digits is 4000, while the sum is 30.

The square root of 105114585 is about 10252.5404168918. The cubic root of 105114585 is about 471.9409473785.

The spelling of 105114585 in words is "one hundred five million, one hundred fourteen thousand, five hundred eighty-five".