105328404 has 24 divisors (see below), whose sum is σ = 273073920. Its totient is φ = 35109432.

The previous prime is 105328397. The next prime is 105328417. The reversal of 105328404 is 404823501.

It is a super-2 number, since 2×105328404² = 22188145378374432, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 487524 + ... + 487739.

It is an arithmetic number, because the mean of its divisors is an integer number (11378080).

Almost surely, 2^105328404 is an apocalyptic number.

It is an amenable number.

105328404 is an abundant number, since it is smaller than the sum of its proper divisors (167745516).

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

105328404 is a wasteful number, since it uses less digits than its factorization.

105328404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975276 (or 975268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105328404 is about 10262.9627301282. The cubic root of 105328404 is about 472.2607304565.

It can be divided in two parts, 105 and 328404, that added together give a cube (328509 = 69³).

The spelling of 105328404 in words is "one hundred five million, three hundred twenty-eight thousand, four hundred four".