101605116 has 12 divisors (see below), whose sum is σ = 237078632. Its totient is φ = 33868368.

The previous prime is 101605109. The next prime is 101605171. The reversal of 101605116 is 611506101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 101605092 and 101605101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4233535 + ... + 4233558.

Almost surely, 2^101605116 is an apocalyptic number.

It is an amenable number.

101605116 is an abundant number, since it is smaller than the sum of its proper divisors (135473516).

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

101605116 is a wasteful number, since it uses less digits than its factorization.

101605116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467100 (or 8467098 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101605116 is about 10079.9363093226. The cubic root of 101605116 is about 466.6291427878.

The spelling of 101605116 in words is "one hundred one million, six hundred five thousand, one hundred sixteen".