105258804 has 48 divisors (see below), whose sum is σ = 281194368. Its totient is φ = 30019968.

The previous prime is 105258799. The next prime is 105258817. The reversal of 105258804 is 408852501.

It is a super-2 number, since 2×105258804² = 22158831639020832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84474 + ... + 85710.

It is an arithmetic number, because the mean of its divisors is an integer number (5858216).

Almost surely, 2^105258804 is an apocalyptic number.

105258804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105258804 is an abundant number, since it is smaller than the sum of its proper divisors (175935564).

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

105258804 is a wasteful number, since it uses less digits than its factorization.

105258804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 105258804 is about 10259.5713360744. The cubic root of 105258804 is about 472.1566857476.

The spelling of 105258804 in words is "one hundred five million, two hundred fifty-eight thousand, eight hundred four".