98333100 has 108 divisors (see below), whose sum is σ = 326400984. Its totient is φ = 24675840.

The previous prime is 98333093. The next prime is 98333101. The reversal of 98333100 is 133389.

It is a super-2 number, since 2×98333100² = 19338797111220000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98333101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12087 + ... + 18513.

Almost surely, 2^98333100 is an apocalyptic number.

98333100 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 98333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163200492).

98333100 is an abundant number, since it is smaller than the sum of its proper divisors (228067884).

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

98333100 is a wasteful number, since it uses less digits than its factorization.

98333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 98333100 is about 9916.3047553007. The cubic root of 98333100 is about 461.5653977869.

Adding to 98333100 its reverse (133389), we get a palindrome (98466489).

The spelling of 98333100 in words is "ninety-eight million, three hundred thirty-three thousand, one hundred".