105985232 has 10 divisors (see below), whose sum is σ = 205346418. Its totient is φ = 52992608.

The previous prime is 105985199. The next prime is 105985237. The reversal of 105985232 is 232589501.

It can be written as a sum of positive squares in only one way, i.e., 61842496 + 44142736 = 7864^2 + 6644^2 .

It is a super-2 number, since 2×105985232² = 22465738804187648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105985192 and 105985201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105985237) 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 as a sum of consecutive naturals, namely, 3312023 + ... + 3312054.

Almost surely, 2^105985232 is an apocalyptic number.

It is an amenable number.

105985232 is a deficient number, since it is larger than the sum of its proper divisors (99361186).

105985232 is an equidigital number, since it uses as much as digits as its factorization.

105985232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624085 (or 6624079 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 105985232 is about 10294.9129185244. The cubic root of 105985232 is about 473.2403696730.

The spelling of 105985232 in words is "one hundred five million, nine hundred eighty-five thousand, two hundred thirty-two".