99745920 has 96 divisors (see below), whose sum is σ = 344455020. Its totient is φ = 26597376.

The previous prime is 99745913. The next prime is 99745937. The reversal of 99745920 is 2954799.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 1498176 = 9912^2 + 1224^2 .

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 (45).

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, 2899 + ... + 14418.

Almost surely, 2^99745920 is an apocalyptic number.

99745920 is a gapful number since it is divisible by the number (90) 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 99745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172227510).

99745920 is an abundant number, since it is smaller than the sum of its proper divisors (244709100).

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

99745920 is a wasteful number, since it uses less digits than its factorization.

99745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17342 (or 17327 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 99745920 is about 9987.2879201513. The cubic root of 99745920 is about 463.7654383209.

The spelling of 99745920 in words is "ninety-nine million, seven hundred forty-five thousand, nine hundred twenty".