107953 has 4 divisors (see below), whose sum is σ = 110628. Its totient is φ = 105280.

The previous prime is 107951. The next prime is 107971. The reversal of 107953 is 359701.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 97344 = 103^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 107953 - 2¹ = 107951 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107951) 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, 1276 + ... + 1357.

It is an arithmetic number, because the mean of its divisors is an integer number (27657).

2¹⁰⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

107953 is a deficient number, since it is larger than the sum of its proper divisors (2675).

107953 is an equidigital number, since it uses as much as digits as its factorization.

107953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674.

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

The square root of 107953 is about 328.5620184988. The cubic root of 107953 is about 47.6151224225.

It can be divided in two parts, 10795 and 3, that multiplied together give a triangular number (32385 = T₂₅₄).

The spelling of 107953 in words is "one hundred seven thousand, nine hundred fifty-three".