105566468 has 24 divisors (see below), whose sum is σ = 214029312. Its totient is φ = 44622144.

The previous prime is 105566443. The next prime is 105566471. The reversal of 105566468 is 864665501.

It is a happy number.

It is a super-2 number, since 2×105566468² = 22288558331990048, 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, 23780 + ... + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (8917888).

Almost surely, 2^105566468 is an apocalyptic number.

It is an amenable number.

105566468 is an abundant number, since it is smaller than the sum of its proper divisors (108462844).

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

105566468 is a wasteful number, since it uses less digits than its factorization.

105566468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51731 (or 51729 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 105566468 is about 10274.5543942304. The cubic root of 105566468 is about 472.6162650725.

The spelling of 105566468 in words is "one hundred five million, five hundred sixty-six thousand, four hundred sixty-eight".