100957289 has 4 divisors (see below), whose sum is σ = 101013120. Its totient is φ = 100901460.

The previous prime is 100957273. The next prime is 100957291. The reversal of 100957289 is 982759001.

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 100957289 - 2⁴ = 100957273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100957489) 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, 25109 + ... + 28850.

It is an arithmetic number, because the mean of its divisors is an integer number (25253280).

Almost surely, 2^100957289 is an apocalyptic number.

It is an amenable number.

100957289 is a deficient number, since it is larger than the sum of its proper divisors (55831).

100957289 is an equidigital number, since it uses as much as digits as its factorization.

100957289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55830.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 100957289 is about 10047.7504447513. The cubic root of 100957289 is about 465.6352961344.

The spelling of 100957289 in words is "one hundred million, nine hundred fifty-seven thousand, two hundred eighty-nine".