99541200 has 120 divisors (see below), whose sum is σ = 347897376. Its totient is φ = 24128000.

The previous prime is 99541187. The next prime is 99541207. The reversal of 99541200 is 214599.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (99541207) 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, 9430 + ... + 16970.

Almost surely, 2^99541200 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 99541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173948688).

99541200 is an abundant number, since it is smaller than the sum of its proper divisors (248356176).

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

99541200 is a wasteful number, since it uses less digits than its factorization.

99541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 99541200 is about 9977.0336272862. The cubic root of 99541200 is about 463.4479413306.

Adding to 99541200 its reverse (214599), we get a palindrome (99755799).

It can be divided in two parts, 995 and 41200, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 99541200 in words is "ninety-nine million, five hundred forty-one thousand, two hundred".