10100957 has 8 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 9862720.

The previous prime is 10100953. The next prime is 10100999. The reversal of 10100957 is 75900101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100957 - 2² = 10100953 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 (10100953) 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 7 ways as a sum of consecutive naturals, for example, 7394 + ... + 8652.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^10100957 is an apocalyptic number.

It is an amenable number.

10100957 is a deficient number, since it is larger than the sum of its proper divisors (241123).

10100957 is a wasteful number, since it uses less digits than its factorization.

10100957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443.

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

The square root of 10100957 is about 3178.2002768863. The cubic root of 10100957 is about 216.1660602864.

The spelling of 10100957 in words is "ten million, one hundred thousand, nine hundred fifty-seven".