100268880 has 80 divisors (see below), whose sum is σ = 320884224. Its totient is φ = 25873920.

The previous prime is 100268879. The next prime is 100268887. The reversal of 100268880 is 88862001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100268887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702 + ... + 14178.

Almost surely, 2^100268880 is an apocalyptic number.

100268880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160442112).

100268880 is an abundant number, since it is smaller than the sum of its proper divisors (220615344).

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

100268880 is a wasteful number, since it uses less digits than its factorization.

100268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 100268880 is about 10013.4349750722. The cubic root of 100268880 is about 464.5745211964.

The spelling of 100268880 in words is "one hundred million, two hundred sixty-eight thousand, eight hundred eighty".