105304704 has 64 divisors (see below), whose sum is σ = 283959840. Its totient is φ = 34569216.

The previous prime is 105304699. The next prime is 105304723. The reversal of 105304704 is 407403501.

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

It is a super-2 number, since 2×105304704² = 22178161369055232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23682 + ... + 27774.

Almost surely, 2^105304704 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 105304704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141979920).

105304704 is an abundant number, since it is smaller than the sum of its proper divisors (178655136).

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

105304704 is an equidigital number, since it uses as much as digits as its factorization.

105304704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 105304704 is about 10261.8080278282. The cubic root of 105304704 is about 472.2253065871.

The spelling of 105304704 in words is "one hundred five million, three hundred four thousand, seven hundred four".