98010000 has 375 divisors, whose sum is σ = 389627623. Its totient is φ = 23760000.

The previous prime is 98009963. The next prime is 98010001. The reversal of 98010000 is 1089.

The square root of 98010000 is 9900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 90326016 = 2772^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (98010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 8909995 + ... + 8910005.

Almost surely, 2^98010000 is an apocalyptic number.

98010000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98010000 is the 9900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98010000

98010000 is an abundant number, since it is smaller than the sum of its proper divisors (291617623).

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

98010000 is a wasteful number, since it uses less digits than its factorization.

98010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 98010000 is about 461.0593104286.

Adding to 98010000 its reverse (1089), we get a palindrome (98011089).

Multiplying 98010000 by its reverse (1089), we get a square (106732890000 = 326700²).

98010000 divided by its reverse (1089) gives a square (90000 = 300²).

The spelling of 98010000 in words is "ninety-eight million, ten thousand".