96872100 has 144 divisors (see below), whose sum is σ = 307688640. Its totient is φ = 23385600.

The previous prime is 96872081. The next prime is 96872107. The reversal of 96872100 is 127869.

It is not an unprimeable number, because it can be changed into a prime (96872107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229890 + ... + 230310.

Almost surely, 2^96872100 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 96872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153844320).

96872100 is an abundant number, since it is smaller than the sum of its proper divisors (210816540).

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

96872100 is a wasteful number, since it uses less digits than its factorization.

96872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 96872100 is about 9842.3625212649. The cubic root of 96872100 is about 459.2680546083.

Adding to 96872100 its reverse (127869), we get a palindrome (96999969).

The spelling of 96872100 in words is "ninety-six million, eight hundred seventy-two thousand, one hundred".