110957 has 12 divisors (see below), whose sum is σ = 140448. Its totient is φ = 85800.

The previous prime is 110951. The next prime is 110969. The reversal of 110957 is 759011.

110957 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 110957 - 2¹² = 106861 is a prime.

It is a super-2 number, since 2×110957² = 24622911698, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (11704).

2¹¹⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

110957 is a deficient number, since it is larger than the sum of its proper divisors (29491).

110957 is a wasteful number, since it uses less digits than its factorization.

110957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 110957 is about 333.1020864540. The cubic root of 110957 is about 48.0527487245.

Adding to 110957 its reverse (759011), we get a palindrome (869968).

The spelling of 110957 in words is "one hundred ten thousand, nine hundred fifty-seven".