105285580 has 12 divisors (see below), whose sum is σ = 221099760. Its totient is φ = 42114224.

The previous prime is 105285577. The next prime is 105285611. The reversal of 105285580 is 85582501.

It is a happy number.

It is a super-2 number, since 2×105285580² = 22170106711872800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2632120 + ... + 2632159.

It is an arithmetic number, because the mean of its divisors is an integer number (18424980).

Almost surely, 2^105285580 is an apocalyptic number.

105285580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105285580 is an abundant number, since it is smaller than the sum of its proper divisors (115814180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105285580 is a wasteful number, since it uses less digits than its factorization.

105285580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264288 (or 5264286 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The square root of 105285580 is about 10260.8761809116. The cubic root of 105285580 is about 472.1967184893.

The spelling of 105285580 in words is "one hundred five million, two hundred eighty-five thousand, five hundred eighty".