98022100 has 54 divisors (see below), whose sum is σ = 233831822. Its totient is φ = 35640000.

The previous prime is 98022097. The next prime is 98022101. The reversal of 98022100 is 122089.

It can be written as a sum of positive squares in 3 ways, for example, as 34245904 + 63776196 = 5852^2 + 7986^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98022101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8050 + ... + 16150.

Almost surely, 2^98022100 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 98022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116915911).

98022100 is an abundant number, since it is smaller than the sum of its proper divisors (135809722).

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

98022100 is a wasteful number, since it uses less digits than its factorization.

98022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 98022100 is about 9900.6110922508. The cubic root of 98022100 is about 461.0782832820.

Adding to 98022100 its reverse (122089), we get a palindrome (98144189).

The spelling of 98022100 in words is "ninety-eight million, twenty-two thousand, one hundred".