105416264 has 8 divisors (see below), whose sum is σ = 197655510. Its totient is φ = 52708128.

The previous prime is 105416243. The next prime is 105416279. The reversal of 105416264 is 462614501.

It can be written as a sum of positive squares in only one way, i.e., 57002500 + 48413764 = 7550^2 + 6958^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105416264² = 22225177431435392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6588509 + ... + 6588524.

Almost surely, 2^105416264 is an apocalyptic number.

It is an amenable number.

105416264 is a deficient number, since it is larger than the sum of its proper divisors (92239246).

105416264 is a wasteful number, since it uses less digits than its factorization.

105416264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13177039 (or 13177035 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 105416264 is about 10267.2422782362. The cubic root of 105416264 is about 472.3920065239.

The spelling of 105416264 in words is "one hundred five million, four hundred sixteen thousand, two hundred sixty-four".