101101616 has 80 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 39037440.

The previous prime is 101101591. The next prime is 101101619. The reversal of 101101616 is 616101101.

It is a super-2 number, since 2×101101616² = 20443073515622912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101594 and 101101603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168485 + ... + 169083.

It is an arithmetic number, because the mean of its divisors is an integer number (3080160).

Almost surely, 2^101101616 is an apocalyptic number.

101101616 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 101101616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

101101616 is an abundant number, since it is smaller than the sum of its proper divisors (145311184).

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

101101616 is a wasteful number, since it uses less digits than its factorization.

101101616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 101101616 is about 10054.9299351114. The cubic root of 101101616 is about 465.8570788538.

Adding to 101101616 its reverse (616101101), we get a palindrome (717202717).

The spelling of 101101616 in words is "one hundred one million, one hundred one thousand, six hundred sixteen".