96416480106 has 24 divisors (see below), whose sum is σ = 213997555044. Its totient is φ = 31354952640.

The previous prime is 96416480071. The next prime is 96416480117. The reversal of 96416480106 is 60108461469.

96416480106 is a `hidden beast` number, since 9 + 64 + 1 + 6 + 480 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75180704481 + 21235775625 = 274191^2 + 145725^2 .

It is a super-2 number, since 2×96416480106² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65322081 + ... + 65323556.

Almost surely, 2^96416480106 is an apocalyptic number.

96416480106 is an abundant number, since it is smaller than the sum of its proper divisors (117581074938).

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

96416480106 is a wasteful number, since it uses less digits than its factorization.

96416480106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130645686 (or 130645683 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 96416480106 in words is "ninety-six billion, four hundred sixteen million, four hundred eighty thousand, one hundred six".