98452100 has 72 divisors (see below), whose sum is σ = 234125640. Its totient is φ = 35768320.

The previous prime is 98452099. The next prime is 98452103. The reversal of 98452100 is 125489.

It can be written as a sum of positive squares in 12 ways, for example, as 39715204 + 58736896 = 6302^2 + 7664^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98452103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48302 + ... + 50298.

It is an arithmetic number, because the mean of its divisors is an integer number (3251745).

Almost surely, 2^98452100 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 98452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117062820).

98452100 is an abundant number, since it is smaller than the sum of its proper divisors (135673540).

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

98452100 is a wasteful number, since it uses less digits than its factorization.

98452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 98452100 is about 9922.3031600531. The cubic root of 98452100 is about 461.7515139589.

Adding to 98452100 its reverse (125489), we get a palindrome (98577589).

The spelling of 98452100 in words is "ninety-eight million, four hundred fifty-two thousand, one hundred".