96538100 has 36 divisors (see below), whose sum is σ = 216717900. Its totient is φ = 37282560.

The previous prime is 96538097. The next prime is 96538109. The reversal of 96538100 is 183569.

It can be written as a sum of positive squares in 6 ways, for example, as 17007376 + 79530724 = 4124^2 + 8918^2 .

It is a super-2 number, since 2×96538100² = 18639209503220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96538109) 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 11 ways as a sum of consecutive naturals, for example, 13745 + ... + 19544.

Almost surely, 2^96538100 is an apocalyptic number.

It is an amenable number.

96538100 is an abundant number, since it is smaller than the sum of its proper divisors (120179800).

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

96538100 is a wasteful number, since it uses less digits than its factorization.

96538100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33332 (or 33325 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 96538100 is about 9825.3803997606. The cubic root of 96538100 is about 458.7396184422.

The spelling of 96538100 in words is "ninety-six million, five hundred thirty-eight thousand, one hundred".