109982952 has 24 divisors (see below), whose sum is σ = 297870690. Its totient is φ = 36660960.

The previous prime is 109982921. The next prime is 109982953. The reversal of 109982952 is 259289901.

It can be written as a sum of positive squares in only one way, i.e., 65707236 + 44275716 = 8106^2 + 6654^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 109982898 and 109982907.

It is not an unprimeable number, because it can be changed into a prime (109982953) 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 5 ways as a sum of consecutive naturals, for example, 763699 + ... + 763842.

Almost surely, 2^109982952 is an apocalyptic number.

109982952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109982952 is an abundant number, since it is smaller than the sum of its proper divisors (187887738).

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

109982952 is a wasteful number, since it uses less digits than its factorization.

109982952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527553 (or 1527546 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 109982952 is about 10487.2757186984. The cubic root of 109982952 is about 479.1172316621.

The spelling of 109982952 in words is "one hundred nine million, nine hundred eighty-two thousand, nine hundred fifty-two".