105675804 has 72 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 32372352.

The previous prime is 105675803. The next prime is 105675821. The reversal of 105675804 is 408576501.

105675804 is a `hidden beast` number, since 10 + 5 + 67 + 580 + 4 = 666.

It is a super-2 number, since 2×105675804² = 22334751102092832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105675803) by changing a digit.

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, 163009 + ... + 163655.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^105675804 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 105675804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

105675804 is an abundant number, since it is smaller than the sum of its proper divisors (183267396).

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

105675804 is a wasteful number, since it uses less digits than its factorization.

105675804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105675804 is about 10279.8737346331. The cubic root of 105675804 is about 472.7793728708.

The spelling of 105675804 in words is "one hundred five million, six hundred seventy-five thousand, eight hundred four".