101605616 has 90 divisors (see below), whose sum is σ = 242361720. Its totient is φ = 41138496.

The previous prime is 101605607. The next prime is 101605627. The reversal of 101605616 is 616506101.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282845 + ... + 283203.

It is an arithmetic number, because the mean of its divisors is an integer number (2692908).

Almost surely, 2^101605616 is an apocalyptic number.

101605616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121180860).

101605616 is an abundant number, since it is smaller than the sum of its proper divisors (140756104).

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

101605616 is a wasteful number, since it uses less digits than its factorization.

101605616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101605616 is about 10079.9611110361. The cubic root of 101605616 is about 466.6299082158.

The spelling of 101605616 in words is "one hundred one million, six hundred five thousand, six hundred sixteen".