98301060900 has 243 divisors, whose sum is σ = 358664622771. Its totient is φ = 22453764480.

The previous prime is 98301060881. The next prime is 98301060901. The reversal of 98301060900 is 906010389.

The square root of 98301060900 is 313530.

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

98301060900 is a `hidden beast` number, since 9 + 8 + 30 + 10 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7463923236 + 90837137664 = 86394^2 + 301392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98301060901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65840554 + ... + 65842046.

Almost surely, 2^98301060900 is an apocalyptic number.

98301060900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98301060900 is the 313530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98301060900

98301060900 is an abundant number, since it is smaller than the sum of its proper divisors (260363561871).

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

98301060900 is a wasteful number, since it uses less digits than its factorization.

98301060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 98301060900 by its sum of digits (36), we get a square (3538838192400 = 1881180²).

98301060900 divided by its sum of digits (36) gives a square (2730585025 = 52255²).

The spelling of 98301060900 in words is "ninety-eight billion, three hundred one million, sixty thousand, nine hundred".