99201600 has 189 divisors, whose sum is σ = 356885113. Its totient is φ = 26135040.

The previous prime is 99201593. The next prime is 99201689. The reversal of 99201600 is 610299.

It is a happy number.

The square root of 99201600 is 9960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 63489024 = 5976^2 + 7968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1195159 + ... + 1195241.

Almost surely, 2^99201600 is an apocalyptic number.

99201600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99201600 is the 9960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99201600

99201600 is an abundant number, since it is smaller than the sum of its proper divisors (257683513).

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

99201600 is a wasteful number, since it uses less digits than its factorization.

99201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 99201600 is about 462.9202996972.

Adding to 99201600 its reverse (610299), we get a palindrome (99811899).

The spelling of 99201600 in words is "ninety-nine million, two hundred one thousand, six hundred".