96106000 has 80 divisors (see below), whose sum is σ = 240542640. Its totient is φ = 37094400.

The previous prime is 96105991. The next prime is 96106001. The reversal of 96106000 is 60169.

It can be written as a sum of positive squares in 8 ways, for example, as 38588944 + 57517056 = 6212^2 + 7584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (96106001) 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 15 ways as a sum of consecutive naturals, for example, 57172 + ... + 58828.

It is an arithmetic number, because the mean of its divisors is an integer number (3006783).

Almost surely, 2^96106000 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 96106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120271320).

96106000 is an abundant number, since it is smaller than the sum of its proper divisors (144436640).

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

96106000 is a wasteful number, since it uses less digits than its factorization.

96106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 96106000 is about 9803.3667686158. The cubic root of 96106000 is about 458.0541624065.

Adding to 96106000 its reverse (60169), we get a palindrome (96166169).

The spelling of 96106000 in words is "ninety-six million, one hundred six thousand".