98855100 has 288 divisors, whose sum is σ = 349977600. Its totient is φ = 23846400.

The previous prime is 98855069. The next prime is 98855101. The reversal of 98855100 is 155889.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98855101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103277 + ... + 2103323.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^98855100 is an apocalyptic number.

98855100 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 98855100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

98855100 is an abundant number, since it is smaller than the sum of its proper divisors (251122500).

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

98855100 is a wasteful number, since it uses less digits than its factorization.

98855100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 98855100 is about 9942.5902057764. The cubic root of 98855100 is about 462.3806948175.

The spelling of 98855100 in words is "ninety-eight million, eight hundred fifty-five thousand, one hundred".