99261120 has 112 divisors (see below), whose sum is σ = 360200448. Its totient is φ = 22686720.

The previous prime is 99261119. The next prime is 99261161. The reversal of 99261120 is 2116299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 666 + ... + 14105.

Almost surely, 2^99261120 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 99261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180100224).

99261120 is an abundant number, since it is smaller than the sum of its proper divisors (260939328).

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

99261120 is a wasteful number, since it uses less digits than its factorization.

99261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14798 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 99261120 is about 9962.9875037561. The cubic root of 99261120 is about 463.0128637539.

The spelling of 99261120 in words is "ninety-nine million, two hundred sixty-one thousand, one hundred twenty".