105966220 has 24 divisors (see below), whose sum is σ = 222868800. Its totient is φ = 42321792.

The previous prime is 105966209. The next prime is 105966241. The reversal of 105966220 is 22669501.

It is a super-2 number, since 2×105966220² = 22457679562176800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10696 + ... + 18064.

It is an arithmetic number, because the mean of its divisors is an integer number (9286200).

Almost surely, 2^105966220 is an apocalyptic number.

105966220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105966220 is an abundant number, since it is smaller than the sum of its proper divisors (116902580).

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

105966220 is a wasteful number, since it uses less digits than its factorization.

105966220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105966220 is about 10293.9895084462. The cubic root of 105966220 is about 473.2120708123.

The spelling of 105966220 in words is "one hundred five million, nine hundred sixty-six thousand, two hundred twenty".