98958100 has 18 divisors (see below), whose sum is σ = 214739294. Its totient is φ = 39583200.

The previous prime is 98958053. The next prime is 98958103. The reversal of 98958100 is 185989.

It can be written as a sum of positive squares in 3 ways, for example, as 6874884 + 92083216 = 2622^2 + 9596^2 .

It is a super-2 number, since 2×98958100² = 19585411111220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98958103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 494691 + ... + 494890.

Almost surely, 2^98958100 is an apocalyptic number.

It is an amenable number.

98958100 is an abundant number, since it is smaller than the sum of its proper divisors (115781194).

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

98958100 is a wasteful number, since it uses less digits than its factorization.

98958100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989595 (or 989588 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 98958100 is about 9947.7685940114. The cubic root of 98958100 is about 462.5412283675.

The spelling of 98958100 in words is "ninety-eight million, nine hundred fifty-eight thousand, one hundred".