100957891 has 4 divisors (see below), whose sum is σ = 101998792. Its totient is φ = 99916992.

The previous prime is 100957889. The next prime is 100957897. The reversal of 100957891 is 198759001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 198759001 = 7 ⋅28394143.

It is a cyclic number.

It is not a de Polignac number, because 100957891 - 2¹ = 100957889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100957897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520305 + ... + 520498.

It is an arithmetic number, because the mean of its divisors is an integer number (25499698).

Almost surely, 2^100957891 is an apocalyptic number.

100957891 is a deficient number, since it is larger than the sum of its proper divisors (1040901).

100957891 is an equidigital number, since it uses as much as digits as its factorization.

100957891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040900.

The product of its (nonzero) digits is 22680, while the sum is 40.

The square root of 100957891 is about 10047.7804016609. The cubic root of 100957891 is about 465.6362216475.

The spelling of 100957891 in words is "one hundred million, nine hundred fifty-seven thousand, eight hundred ninety-one".