98513100 has 216 divisors, whose sum is σ = 371920640. Its totient is φ = 21306240.

The previous prime is 98513089. The next prime is 98513123. The reversal of 98513100 is 131589.

It is a super-2 number, since 2×98513100² = 19409661743220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119289 + ... + 120111.

Almost surely, 2^98513100 is an apocalyptic number.

98513100 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 98513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185960320).

98513100 is an abundant number, since it is smaller than the sum of its proper divisors (273407540).

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

98513100 is a wasteful number, since it uses less digits than its factorization.

98513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 98513100 is about 9925.3765671636. The cubic root of 98513100 is about 461.8468599090.

Adding to 98513100 its reverse (131589), we get a palindrome (98644689).

The spelling of 98513100 in words is "ninety-eight million, five hundred thirteen thousand, one hundred".