96998100 has 72 divisors (see below), whose sum is σ = 281731968. Its totient is φ = 25766400.

The previous prime is 96998051. The next prime is 96998117. The reversal of 96998100 is 189969.

It is a super-2 number, since 2×96998100² = 18817262807220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109660 + ... + 110540.

It is an arithmetic number, because the mean of its divisors is an integer number (3912944).

Almost surely, 2^96998100 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 96998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140865984).

96998100 is an abundant number, since it is smaller than the sum of its proper divisors (184733868).

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

96998100 is a wasteful number, since it uses less digits than its factorization.

96998100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

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

The square root of 96998100 is about 9848.7613434381. The cubic root of 96998100 is about 459.4670892246.

The spelling of 96998100 in words is "ninety-six million, nine hundred ninety-eight thousand, one hundred".