98257104 has 320 divisors, whose sum is σ = 342835200. Its totient is φ = 26611200.

The previous prime is 98257097. The next prime is 98257141. The reversal of 98257104 is 40175289.

98257104 is a `hidden beast` number, since 9 + 82 + 571 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3169569 + ... + 3169599.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^98257104 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 98257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

98257104 is an abundant number, since it is smaller than the sum of its proper divisors (244578096).

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

98257104 is a wasteful number, since it uses less digits than its factorization.

98257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 98257104 is about 9912.4721437187. The cubic root of 98257104 is about 461.4464613548.

The spelling of 98257104 in words is "ninety-eight million, two hundred fifty-seven thousand, one hundred four".