103957 has 4 divisors (see below), whose sum is σ = 118816. Its totient is φ = 89100.

The previous prime is 103951. The next prime is 103963. The reversal of 103957 is 759301.

103957 is nontrivially palindromic in base 11.

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.

It is an interprime number because it is at equal distance from previous prime (103951) and next prime (103963).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103951) 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, 7419 + ... + 7432.

It is an arithmetic number, because the mean of its divisors is an integer number (29704).

2¹⁰³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

103957 is a deficient number, since it is larger than the sum of its proper divisors (14859).

103957 is an equidigital number, since it uses as much as digits as its factorization.

103957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14858.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 103957 is about 322.4236343694. The cubic root of 103957 is about 47.0202116179.

The spelling of 103957 in words is "one hundred three thousand, nine hundred fifty-seven".