101616 has 40 divisors (see below), whose sum is σ = 275280. Its totient is φ = 32256.

The previous prime is 101611. The next prime is 101627. The reversal of 101616 is 616101.

It is a super-2 number, since 2×101616² = 20651622912, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101595 and 101604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (6882).

2¹⁰¹⁶¹⁶ is an apocalyptic number.

101616 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 101616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137640).

101616 is an abundant number, since it is smaller than the sum of its proper divisors (173664).

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

101616 is a wasteful number, since it uses less digits than its factorization.

101616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101616 is about 318.7726462543. The cubic root of 101616 is about 46.6645804056.

Adding to 101616 its reverse (616101), we get a palindrome (717717).

It can be divided in two parts, 101 and 616, that added together give a palindrome (717).

The spelling of 101616 in words is "one hundred one thousand, six hundred sixteen".