100890144 has 96 divisors (see below), whose sum is σ = 307117440. Its totient is φ = 32161536.

The previous prime is 100890143. The next prime is 100890199. The reversal of 100890144 is 441098001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100890143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17334 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (3199140).

Almost surely, 2^100890144 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 100890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153558720).

100890144 is an abundant number, since it is smaller than the sum of its proper divisors (206227296).

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

100890144 is a wasteful number, since it uses less digits than its factorization.

100890144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100890144 is about 10044.4085938397. The cubic root of 100890144 is about 465.5320444982.

The spelling of 100890144 in words is "one hundred million, eight hundred ninety thousand, one hundred forty-four".