98413964100 has 81 divisors (see below), whose sum is σ = 308502605047. Its totient is φ = 26241214080.

The previous prime is 98413964059. The next prime is 98413964147. The reversal of 98413964100 is 146931489.

The square root of 98413964100 is 313710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10290479364 + 88123484736 = 101442^2 + 296856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9406072 + ... + 9416528.

Almost surely, 2^98413964100 is an apocalyptic number.

98413964100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98413964100 is the 313710-th square number.

It is an amenable number.

98413964100 is an abundant number, since it is smaller than the sum of its proper divisors (210088640947).

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

98413964100 is a wasteful number, since it uses less digits than its factorization.

98413964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20934 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 98413964100 in words is "ninety-eight billion, four hundred thirteen million, nine hundred sixty-four thousand, one hundred".