105165564 has 36 divisors (see below), whose sum is σ = 285450984. Its totient is φ = 30047136.

The previous prime is 105165559. The next prime is 105165601. The reversal of 105165564 is 465561501.

It is a super-2 number, since 2×105165564² = 22119591702876192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88839 + ... + 90014.

It is an arithmetic number, because the mean of its divisors is an integer number (7929194).

Almost surely, 2^105165564 is an apocalyptic number.

105165564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105165564 is an abundant number, since it is smaller than the sum of its proper divisors (180285420).

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

105165564 is a wasteful number, since it uses less digits than its factorization.

105165564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178874 (or 178865 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 105165564 is about 10255.0262798298. The cubic root of 105165564 is about 472.0172298125.

The spelling of 105165564 in words is "one hundred five million, one hundred sixty-five thousand, five hundred sixty-four".