100968 has 32 divisors (see below), whose sum is σ = 288960. Its totient is φ = 28800.

The previous prime is 100957. The next prime is 100981. The reversal of 100968 is 869001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (9030).

2¹⁰⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

100968 is an abundant number, since it is smaller than the sum of its proper divisors (187992).

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

100968 is a wasteful number, since it uses less digits than its factorization.

100968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100968 is about 317.7546223110. The cubic root of 100968 is about 46.5651762647.

Adding to 100968 its reverse (869001), we get a palindrome (969969).

The spelling of 100968 in words is "one hundred thousand, nine hundred sixty-eight".