96566100 has 72 divisors (see below), whose sum is σ = 282252768. Its totient is φ = 25488000.

The previous prime is 96566087. The next prime is 96566123. The reversal of 96566100 is 166569.

96566100 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28707 + ... + 31893.

Almost surely, 2^96566100 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 96566100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141126384).

96566100 is an abundant number, since it is smaller than the sum of its proper divisors (185686668).

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

96566100 is a wasteful number, since it uses less digits than its factorization.

96566100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 96566100 is about 9826.8051776760. The cubic root of 96566100 is about 458.7839652430.

The spelling of 96566100 in words is "ninety-six million, five hundred sixty-six thousand, one hundred".