106605005616 has 60 divisors (see below), whose sum is σ = 306409372672. Its totient is φ = 34574594688.

The previous prime is 106605005603. The next prime is 106605005641. The reversal of 106605005616 is 616500506601.

It is a super-2 number, since 2×106605005616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9998896 + ... + 10009551.

Almost surely, 2^106605005616 is an apocalyptic number.

106605005616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106605005616 is an abundant number, since it is smaller than the sum of its proper divisors (199804367056).

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

106605005616 is a wasteful number, since it uses less digits than its factorization.

106605005616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20008498 (or 20008489 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106605005616 in words is "one hundred six billion, six hundred five million, five thousand, six hundred sixteen".