105904850 has 24 divisors (see below), whose sum is σ = 197682660. Its totient is φ = 42211520.

The previous prime is 105904831. The next prime is 105904853. The reversal of 105904850 is 58409501.

It can be written as a sum of positive squares in 6 ways, for example, as 97673689 + 8231161 = 9883^2 + 2869^2 .

It is a super-2 number, since 2×105904850² = 22431674507045000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105904853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11036 + ... + 18264.

Almost surely, 2^105904850 is an apocalyptic number.

105904850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105904850 is a deficient number, since it is larger than the sum of its proper divisors (91777810).

105904850 is a wasteful number, since it uses less digits than its factorization.

105904850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105904850 is about 10291.0082110549. The cubic root of 105904850 is about 473.1207000814.

The spelling of 105904850 in words is "one hundred five million, nine hundred four thousand, eight hundred fifty".