100081968 has 160 divisors (see below), whose sum is σ = 317360640. Its totient is φ = 26542080.

The previous prime is 100081957. The next prime is 100081973. The reversal of 100081968 is 869180001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 389296 + ... + 389552.

It is an arithmetic number, because the mean of its divisors is an integer number (1983504).

Almost surely, 2^100081968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158680320).

100081968 is an abundant number, since it is smaller than the sum of its proper divisors (217278672).

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

100081968 is a wasteful number, since it uses less digits than its factorization.

100081968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 100081968 is about 10004.0975604999. The cubic root of 100081968 is about 464.2856693108.

The spelling of 100081968 in words is "one hundred million, eighty-one thousand, nine hundred sixty-eight".