100965257 has 4 divisors (see below), whose sum is σ = 101418240. Its totient is φ = 100512276.

The previous prime is 100965229. The next prime is 100965281. The reversal of 100965257 is 752569001.

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: 752569001 = 27103 ⋅27767.

It is a cyclic number.

It is not a de Polignac number, because 100965257 - 2²⁰ = 99916681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100965157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226157 + ... + 226602.

It is an arithmetic number, because the mean of its divisors is an integer number (25354560).

Almost surely, 2^100965257 is an apocalyptic number.

It is an amenable number.

100965257 is a deficient number, since it is larger than the sum of its proper divisors (452983).

100965257 is an equidigital number, since it uses as much as digits as its factorization.

100965257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452982.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 100965257 is about 10048.1469435911. The cubic root of 100965257 is about 465.6475458176.

It can be divided in two parts, 1009 and 65257, that added together give a palindrome (66266).

The spelling of 100965257 in words is "one hundred million, nine hundred sixty-five thousand, two hundred fifty-seven".