100884960 has 288 divisors, whose sum is σ = 390126240. Its totient is φ = 24330240.

The previous prime is 100884913. The next prime is 100884967. The reversal of 100884960 is 69488001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100884967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522624 + ... + 522816.

It is an arithmetic number, because the mean of its divisors is an integer number (1354605).

Almost surely, 2^100884960 is an apocalyptic number.

100884960 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 100884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195063120).

100884960 is an abundant number, since it is smaller than the sum of its proper divisors (289241280).

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

100884960 is a wasteful number, since it uses less digits than its factorization.

100884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 100884960 is about 10044.1505365063. The cubic root of 100884960 is about 465.5240709428.

The spelling of 100884960 in words is "one hundred million, eight hundred eighty-four thousand, nine hundred sixty".