99951852 has 192 divisors, whose sum is σ = 321076224. Its totient is φ = 23362560.

The previous prime is 99951851. The next prime is 99951877. The reversal of 99951852 is 25815999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99951851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636558 + ... + 636714.

It is an arithmetic number, because the mean of its divisors is an integer number (1672272).

Almost surely, 2^99951852 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 99951852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160538112).

99951852 is an abundant number, since it is smaller than the sum of its proper divisors (221124372).

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

99951852 is a wasteful number, since it uses less digits than its factorization.

99951852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its digits is 291600, while the sum is 48.

The square root of 99951852 is about 9997.5923101515. The cubic root of 99951852 is about 464.0843769958.

The spelling of 99951852 in words is "ninety-nine million, nine hundred fifty-one thousand, eight hundred fifty-two".