105166464 has 64 divisors (see below), whose sum is σ = 300851040. Its totient is φ = 32357376.

The previous prime is 105166447. The next prime is 105166487. The reversal of 105166464 is 464661501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105166464² = 22119970300526592, 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, 5542 + ... + 15525.

Almost surely, 2^105166464 is an apocalyptic number.

It is an amenable number.

105166464 is an abundant number, since it is smaller than the sum of its proper divisors (195684576).

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

105166464 is a wasteful number, since it uses less digits than its factorization.

105166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21097 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105166464 is about 10255.0701606571. The cubic root of 105166464 is about 472.0185763061.

The spelling of 105166464 in words is "one hundred five million, one hundred sixty-six thousand, four hundred sixty-four".