99971800 has 96 divisors (see below), whose sum is σ = 246055680. Its totient is φ = 37699200.

The previous prime is 99971797. The next prime is 99971801. The reversal of 99971800 is 817999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99971801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473695 + ... + 473905.

It is an arithmetic number, because the mean of its divisors is an integer number (2563080).

Almost surely, 2^99971800 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 99971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123027840).

99971800 is an abundant number, since it is smaller than the sum of its proper divisors (146083880).

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

99971800 is a wasteful number, since it uses less digits than its factorization.

99971800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

The square root of 99971800 is about 9998.5899005810. The cubic root of 99971800 is about 464.1152483243.

The spelling of 99971800 in words is "ninety-nine million, nine hundred seventy-one thousand, eight hundred".