98118900 has 324 divisors, whose sum is σ = 364687596. Its totient is φ = 21964800.

The previous prime is 98118899. The next prime is 98118913. The reversal of 98118900 is 981189.

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 96707556 = 1188^2 + 9834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1851274 + ... + 1851326.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 2^98118900 is an apocalyptic number.

98118900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98118900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182343798).

98118900 is an abundant number, since it is smaller than the sum of its proper divisors (266568696).

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

98118900 is a wasteful number, since it uses less digits than its factorization.

98118900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 98118900 is about 9905.4984730704. The cubic root of 98118900 is about 461.2300099297.

Multiplying 98118900 by its reverse (981189), we get a square (96273185372100 = 9811890²).

98118900 divided by its reverse (981189) gives a square (100 = 10²).

It can be divided in two parts, 981 and 18900, that added together give a square (19881 = 141²).

The spelling of 98118900 in words is "ninety-eight million, one hundred eighteen thousand, nine hundred".