96198900 has 144 divisors (see below), whose sum is σ = 334978560. Its totient is φ = 20822400.

The previous prime is 96198841. The next prime is 96198941. The reversal of 96198900 is 989169.

It is a super-2 number, since 2×96198900² = 18508456722420000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38695 + ... + 41105.

It is an arithmetic number, because the mean of its divisors is an integer number (2326240).

Almost surely, 2^96198900 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 96198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

96198900 is an abundant number, since it is smaller than the sum of its proper divisors (238779660).

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

96198900 is a wasteful number, since it uses less digits than its factorization.

96198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 96198900 is about 9808.1037922730. The cubic root of 96198900 is about 458.2017061874.

The spelling of 96198900 in words is "ninety-six million, one hundred ninety-eight thousand, nine hundred".