10116106616 has 96 divisors (see below), whose sum is σ = 24958730880. Its totient is φ = 3733819200.

The previous prime is 10116106603. The next prime is 10116106621. The reversal of 10116106616 is 61660161101.

It is a super-2 number, since 2×10116106616² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199631 + ... + 245121.

It is an arithmetic number, because the mean of its divisors is an integer number (259986780).

Almost surely, 2^10116106616 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 10116106616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479365440).

10116106616 is an abundant number, since it is smaller than the sum of its proper divisors (14842624264).

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

10116106616 is a wasteful number, since it uses less digits than its factorization.

10116106616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45553 (or 45530 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

Adding to 10116106616 its reverse (61660161101), we get a palindrome (71776267717).

The spelling of 10116106616 in words is "ten billion, one hundred sixteen million, one hundred six thousand, six hundred sixteen".