105579804 has 48 divisors (see below), whose sum is σ = 270579456. Its totient is φ = 31776000.

The previous prime is 105579767. The next prime is 105579811. The reversal of 105579804 is 408975501.

It is a super-2 number, since 2×105579804² = 22294190025356832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17284 + ... + 22580.

It is an arithmetic number, because the mean of its divisors is an integer number (5637072).

Almost surely, 2^105579804 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 105579804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135289728).

105579804 is an abundant number, since it is smaller than the sum of its proper divisors (164999652).

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

105579804 is a wasteful number, since it uses less digits than its factorization.

105579804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105579804 is about 10275.2033556519. The cubic root of 105579804 is about 472.6361657892.

The spelling of 105579804 in words is "one hundred five million, five hundred seventy-nine thousand, eight hundred four".