96100992 has 320 divisors, whose sum is σ = 331752960. Its totient is φ = 27371520.

The previous prime is 96100973. The next prime is 96100999. The reversal of 96100992 is 29900169.

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

It is not an unprimeable number, because it can be changed into a prime (96100999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3100017 + ... + 3100047.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 2^96100992 is an apocalyptic number.

96100992 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

96100992 is an abundant number, since it is smaller than the sum of its proper divisors (235651968).

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

96100992 is a wasteful number, since it uses less digits than its factorization.

96100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 96100992 is about 9803.1113428340. Note that the first 3 decimals coincide. The cubic root of 96100992 is about 458.0462060004.

The spelling of 96100992 in words is "ninety-six million, one hundred thousand, nine hundred ninety-two".