106006617616 has 40 divisors (see below), whose sum is σ = 218426610080. Its totient is φ = 49695980544.

The previous prime is 106006617503. The next prime is 106006617623. The reversal of 106006617616 is 616716600601.

It is a super-2 number, since 2×106006617616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1767966 + ... + 1826941.

It is an arithmetic number, because the mean of its divisors is an integer number (5460665252).

Almost surely, 2^106006617616 is an apocalyptic number.

106006617616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106006617616 is an abundant number, since it is smaller than the sum of its proper divisors (112419992464).

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

106006617616 is a wasteful number, since it uses less digits than its factorization.

106006617616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595031 (or 3595025 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 106006617616 in words is "one hundred six billion, six million, six hundred seventeen thousand, six hundred sixteen".