105225804 has 72 divisors (see below), whose sum is σ = 285426960. Its totient is φ = 33856704.

The previous prime is 105225787. The next prime is 105225839. The reversal of 105225804 is 408522501.

It is a happy number.

It is a super-2 number, since 2×105225804² = 22144939654892832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 26322 + ... + 30054.

Almost surely, 2^105225804 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 105225804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142713480).

105225804 is an abundant number, since it is smaller than the sum of its proper divisors (180201156).

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

105225804 is a wasteful number, since it uses less digits than its factorization.

105225804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105225804 is about 10257.9629556750. The cubic root of 105225804 is about 472.1073381756.

The spelling of 105225804 in words is "one hundred five million, two hundred twenty-five thousand, eight hundred four".