99054144 has 224 divisors, whose sum is σ = 351129600. Its totient is φ = 26749440.

The previous prime is 99054119. The next prime is 99054199. The reversal of 99054144 is 44145099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 99054099 and 99054108.

It is a congruent number.

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, 229609 + ... + 230039.

Almost surely, 2^99054144 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 99054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

99054144 is an abundant number, since it is smaller than the sum of its proper divisors (252075456).

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

99054144 is a wasteful number, since it uses less digits than its factorization.

99054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 99054144 is about 9952.5948375286. The cubic root of 99054144 is about 462.6908201155.

The spelling of 99054144 in words is "ninety-nine million, fifty-four thousand, one hundred forty-four".