105985604 has 24 divisors (see below), whose sum is σ = 192360000. Its totient is φ = 51035040.

The previous prime is 105985603. The next prime is 105985639. The reversal of 105985604 is 406589501.

It is a super-2 number, since 2×105985604² = 22465896510489632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105985601) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56969 + ... + 58799.

It is an arithmetic number, because the mean of its divisors is an integer number (8015000).

Almost surely, 2^105985604 is an apocalyptic number.

It is an amenable number.

105985604 is a deficient number, since it is larger than the sum of its proper divisors (86374396).

105985604 is a wasteful number, since it uses less digits than its factorization.

105985604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 105985604 is about 10294.9309856842. The cubic root of 105985604 is about 473.2409233515.

The spelling of 105985604 in words is "one hundred five million, nine hundred eighty-five thousand, six hundred four".