105747664 has 80 divisors (see below), whose sum is σ = 232752960. Its totient is φ = 46126080.

The previous prime is 105747643. The next prime is 105747671. The reversal of 105747664 is 466747501.

It is a super-2 number, since 2×105747664² = 22365136882913792, 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 15 ways as a sum of consecutive naturals, for example, 673474 + ... + 673630.

It is an arithmetic number, because the mean of its divisors is an integer number (2909412).

Almost surely, 2^105747664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116376480).

105747664 is an abundant number, since it is smaller than the sum of its proper divisors (127005296).

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

105747664 is a wasteful number, since it uses less digits than its factorization.

105747664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 105747664 is about 10283.3683197676. The cubic root of 105747664 is about 472.8865125898.

The spelling of 105747664 in words is "one hundred five million, seven hundred forty-seven thousand, six hundred sixty-four".