96106500 has 288 divisors, whose sum is σ = 362509056. Its totient is φ = 21772800.

The previous prime is 96106487. The next prime is 96106553. The reversal of 96106500 is 560169.

96106500 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850444 + ... + 850556.

It is an arithmetic number, because the mean of its divisors is an integer number (1258712).

Almost surely, 2^96106500 is an apocalyptic number.

96106500 is a gapful number since it is divisible by the number (90) 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 96106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

96106500 is an abundant number, since it is smaller than the sum of its proper divisors (266402556).

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

96106500 is a wasteful number, since it uses less digits than its factorization.

96106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 96106500 is about 9803.3922700257. The cubic root of 96106500 is about 458.0549567610.

Adding to 96106500 its reverse (560169), we get a palindrome (96666669).

It can be divided in two parts, 9610 and 6500, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 96106500 in words is "ninety-six million, one hundred six thousand, five hundred".