99900144 has 60 divisors (see below), whose sum is σ = 280729800. Its totient is φ = 33163392.

The previous prime is 99900139. The next prime is 99900167. The reversal of 99900144 is 44100999.

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

It is a junction number, because it is equal to n+sod(n) for n = 99900099 and 99900108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37447 + ... + 40025.

It is an arithmetic number, because the mean of its divisors is an integer number (4678830).

Almost surely, 2^99900144 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 99900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140364900).

99900144 is an abundant number, since it is smaller than the sum of its proper divisors (180829656).

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

99900144 is a wasteful number, since it uses less digits than its factorization.

99900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99900144 is about 9995.0059529747. The cubic root of 99900144 is about 464.0043350764.

The spelling of 99900144 in words is "ninety-nine million, nine hundred thousand, one hundred forty-four".