105207804 has 72 divisors (see below), whose sum is σ = 293437872. Its totient is φ = 31576320.

The previous prime is 105207793. The next prime is 105207811. The reversal of 105207804 is 408702501.

It is a super-2 number, since 2×105207804² = 22137364045004832, 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 23 ways as a sum of consecutive naturals, for example, 16447 + ... + 21929.

It is an arithmetic number, because the mean of its divisors is an integer number (4075526).

Almost surely, 2^105207804 is an apocalyptic number.

105207804 is the 5483-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105207804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146718936).

105207804 is an abundant number, since it is smaller than the sum of its proper divisors (188230068).

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

105207804 is a wasteful number, since it uses less digits than its factorization.

105207804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105207804 is about 10257.0855509740. The cubic root of 105207804 is about 472.0804169694.

The spelling of 105207804 in words is "one hundred five million, two hundred seven thousand, eight hundred four".