99750 has 64 divisors (see below), whose sum is σ = 299520. Its totient is φ = 21600.

The previous prime is 99733. The next prime is 99761. The reversal of 99750 is 5799.

It is a happy number.

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

It is a Curzon number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5241 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁹⁹⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

99750 is an abundant number, since it is smaller than the sum of its proper divisors (199770).

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

99750 is a wasteful number, since it uses less digits than its factorization.

99750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 99750 is about 315.8322339471. The cubic root of 99750 is about 46.3771761511.

The spelling of 99750 in words is "ninety-nine thousand, seven hundred fifty".