105561210 has 32 divisors (see below), whose sum is σ = 255597120. Its totient is φ = 27899648.

The previous prime is 105561199. The next prime is 105561221. The reversal of 105561210 is 12165501.

It is an interprime number because it is at equal distance from previous prime (105561199) and next prime (105561221).

It is a super-2 number, since 2×105561210² = 22286338113328200, which contains 22 as substring.

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, 12180 + ... + 18959.

It is an arithmetic number, because the mean of its divisors is an integer number (7987410).

Almost surely, 2^105561210 is an apocalyptic number.

105561210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561210 is an abundant number, since it is smaller than the sum of its proper divisors (150035910).

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

105561210 is a wasteful number, since it uses less digits than its factorization.

105561210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31262.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105561210 is about 10274.2985162005. The cubic root of 105561210 is about 472.6084183335.

The spelling of 105561210 in words is "one hundred five million, five hundred sixty-one thousand, two hundred ten".