101000957 has 4 divisors (see below), whose sum is σ = 102217920. Its totient is φ = 99783996.

The previous prime is 101000923. The next prime is 101000983. The reversal of 101000957 is 759000101.

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 a cyclic number.

It is not a de Polignac number, because 101000957 - 2²⁶ = 33892093 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 (101000057) 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, 608357 + ... + 608522.

It is an arithmetic number, because the mean of its divisors is an integer number (25554480).

Almost surely, 2^101000957 is an apocalyptic number.

It is an amenable number.

101000957 is a deficient number, since it is larger than the sum of its proper divisors (1216963).

101000957 is an equidigital number, since it uses as much as digits as its factorization.

101000957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216962.

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

The square root of 101000957 is about 10049.9232335377. The cubic root of 101000957 is about 465.7024216530.

The spelling of 101000957 in words is "one hundred one million, nine hundred fifty-seven", and thus it is an aban number.