105304700 has 36 divisors (see below), whose sum is σ = 230558160. Its totient is φ = 41744640.

The previous prime is 105304699. The next prime is 105304723. The reversal of 105304700 is 7403501.

It is a happy number.

It is a super-2 number, since 2×105304700² = 22178159684180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6641 + ... + 15959.

Almost surely, 2^105304700 is an apocalyptic number.

105304700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105304700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115279080).

105304700 is an abundant number, since it is smaller than the sum of its proper divisors (125253460).

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

105304700 is a wasteful number, since it uses less digits than its factorization.

105304700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9446 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 105304700 is about 10261.8078329308. The cubic root of 105304700 is about 472.2253006079.

The spelling of 105304700 in words is "one hundred five million, three hundred four thousand, seven hundred".