100957668 has 48 divisors (see below), whose sum is σ = 269727360. Its totient is φ = 28790784.

The previous prime is 100957667. The next prime is 100957687. The reversal of 100957668 is 866759001.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (100957667) 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 15 ways as a sum of consecutive naturals, for example, 70948 + ... + 72356.

It is an arithmetic number, because the mean of its divisors is an integer number (5619320).

Almost surely, 2^100957668 is an apocalyptic number.

It is an amenable number.

100957668 is an abundant number, since it is smaller than the sum of its proper divisors (168769692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100957668 is a wasteful number, since it uses less digits than its factorization.

100957668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 100957668 is about 10047.7693046765. The cubic root of 100957668 is about 465.6358788083.

The spelling of 100957668 in words is "one hundred million, nine hundred fifty-seven thousand, six hundred sixty-eight".