106006615616 has 28 divisors (see below), whose sum is σ = 229480231920. Its totient is φ = 48184824960.

The previous prime is 106006615613. The next prime is 106006615643. The reversal of 106006615616 is 616516600601.

It is a happy number.

It is a super-2 number, since 2×106006615616² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106006615616.

It is not an unprimeable number, because it can be changed into a prime (106006615613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75288086 + ... + 75289493.

Almost surely, 2^106006615616 is an apocalyptic number.

106006615616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106006615616 is an abundant number, since it is smaller than the sum of its proper divisors (123473616304).

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

106006615616 is a wasteful number, since it uses less digits than its factorization.

106006615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150577602 (or 150577592 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 106006615616 in words is "one hundred six billion, six million, six hundred fifteen thousand, six hundred sixteen".