21106162616 has 192 divisors, whose sum is σ = 53089344000. Its totient is φ = 7677331200.

The previous prime is 21106162601. The next prime is 21106162631. The reversal of 21106162616 is 61626160112.

It is an interprime number because it is at equal distance from previous prime (21106162601) and next prime (21106162631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9139670 + ... + 9141978.

It is an arithmetic number, because the mean of its divisors is an integer number (276507000).

Almost surely, 2^21106162616 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 21106162616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544672000).

21106162616 is an abundant number, since it is smaller than the sum of its proper divisors (31983181384).

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

21106162616 is a wasteful number, since it uses less digits than its factorization.

21106162616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 21106162616 in words is "twenty-one billion, one hundred six million, one hundred sixty-two thousand, six hundred sixteen".