105036664 has 16 divisors (see below), whose sum is σ = 198688320. Its totient is φ = 52053120.

The previous prime is 105036661. The next prime is 105036689. The reversal of 105036664 is 466630501.

It is a super-2 number, since 2×105036664² = 22065401568497792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105036661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57192 + ... + 58999.

It is an arithmetic number, because the mean of its divisors is an integer number (12418020).

Almost surely, 2^105036664 is an apocalyptic number.

It is an amenable number.

105036664 is a deficient number, since it is larger than the sum of its proper divisors (93651656).

105036664 is a wasteful number, since it uses less digits than its factorization.

105036664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116310 (or 116306 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 105036664 is about 10248.7396298277. The cubic root of 105036664 is about 471.8243026042.

The spelling of 105036664 in words is "one hundred five million, thirty-six thousand, six hundred sixty-four".