99105600 has 168 divisors, whose sum is σ = 354896928. Its totient is φ = 24012800.

The previous prime is 99105571. The next prime is 99105607. The reversal of 99105600 is 650199.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99105607) 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, 51862 + ... + 53738.

Almost surely, 2^99105600 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 99105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177448464).

99105600 is an abundant number, since it is smaller than the sum of its proper divisors (255791328).

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

99105600 is a wasteful number, since it uses less digits than its factorization.

99105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 99105600 is about 9955.1795563917. The cubic root of 99105600 is about 462.7709247817.

Adding to 99105600 its reverse (650199), we get a palindrome (99755799).

The spelling of 99105600 in words is "ninety-nine million, one hundred five thousand, six hundred".