108632953 has 12 divisors (see below), whose sum is σ = 128593444. Its totient is φ = 91159200.

The previous prime is 108632837. The next prime is 108632963. The reversal of 108632953 is 359236801.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 66797929 = 6468^2 + 8173^2 .

It is not a de Polignac number, because 108632953 - 2⁹ = 108632441 is a prime.

It is a super-2 number, since 2×108632953² = 23602236955000418, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108632963) 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, 32958 + ... + 36103.

Almost surely, 2^108632953 is an apocalyptic number.

108632953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

108632953 is a deficient number, since it is larger than the sum of its proper divisors (19960491).

108632953 is a wasteful number, since it uses less digits than its factorization.

108632953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69096 (or 69085 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 108632953 is about 10422.7133223552. The cubic root of 108632953 is about 477.1488283548.

The spelling of 108632953 in words is "one hundred eight million, six hundred thirty-two thousand, nine hundred fifty-three".