20101616 has 40 divisors (see below), whose sum is σ = 41541984. Its totient is φ = 9390080.

The previous prime is 20101607. The next prime is 20101621. The reversal of 20101616 is 61610102.

It is a happy number.

It is a super-2 number, since 2×20101616² = 808149931622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 20101594 and 20101603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71396 + ... + 71676.

Almost surely, 2^20101616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770992).

20101616 is an abundant number, since it is smaller than the sum of its proper divisors (21440368).

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

20101616 is a wasteful number, since it uses less digits than its factorization.

20101616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 20101616 is about 4483.4825749634. The cubic root of 20101616 is about 271.9006990460.

Adding to 20101616 its reverse (61610102), we get a palindrome (81711718).

The spelling of 20101616 in words is "twenty million, one hundred one thousand, six hundred sixteen".