101605610601606 has 48 divisors (see below), whose sum is σ = 214471441611504. Its totient is φ = 32085685925568.

The previous prime is 101605610601569. The next prime is 101605610601629. The reversal of 101605610601606 is 606106016506101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458156260 + ... + 458377976.

It is an arithmetic number, because the mean of its divisors is an integer number (4468155033573).

Almost surely, 2^{101605610601606} is an apocalyptic number.

101605610601606 is an abundant number, since it is smaller than the sum of its proper divisors (112865831009898).

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

101605610601606 is a wasteful number, since it uses less digits than its factorization.

101605610601606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433333 (or 433314 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 101605610601606 in words is "one hundred one trillion, six hundred five billion, six hundred ten million, six hundred one thousand, six hundred six".