109957 has 4 divisors (see below), whose sum is σ = 113536. Its totient is φ = 106380.

The previous prime is 109943. The next prime is 109961. The reversal of 109957 is 759901.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 759901 = 79 ⋅9619.

It is a cyclic number.

It is not a de Polignac number, because 109957 - 2⁷ = 109829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 3547 = 109957 / (1 + 0 + 9 + 9 + 5 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1743 + ... + 1804.

It is an arithmetic number, because the mean of its divisors is an integer number (28384).

2¹⁰⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

109957 is a deficient number, since it is larger than the sum of its proper divisors (3579).

109957 is an equidigital number, since it uses as much as digits as its factorization.

109957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 109957 is about 331.5976477601. The cubic root of 109957 is about 47.9079543917.

It can be divided in two parts, 1099 and 57, that added together give a square (1156 = 34²).

The spelling of 109957 in words is "one hundred nine thousand, nine hundred fifty-seven".