105852210 has 32 divisors (see below), whose sum is σ = 265092480. Its totient is φ = 26999808.

The previous prime is 105852209. The next prime is 105852221. The reversal of 105852210 is 12258501.

It is a super-2 number, since 2×105852210² = 22409380723768200, 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, 76015 + ... + 77394.

It is an arithmetic number, because the mean of its divisors is an integer number (8284140).

Almost surely, 2^105852210 is an apocalyptic number.

105852210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105852210 is an abundant number, since it is smaller than the sum of its proper divisors (159240270).

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

105852210 is a wasteful number, since it uses less digits than its factorization.

105852210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153442.

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 105852210 is about 10288.4503206265. The cubic root of 105852210 is about 473.0422988840.

The spelling of 105852210 in words is "one hundred five million, eight hundred fifty-two thousand, two hundred ten".