1002106616 has 64 divisors (see below), whose sum is σ = 2316703680. Its totient is φ = 396564480.

The previous prime is 1002106603. The next prime is 1002106661. The reversal of 1002106616 is 6166012001.

It is a junction number, because it is equal to n+sod(n) for n = 1002106591 and 1002106600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40526 + ... + 60386.

It is an arithmetic number, because the mean of its divisors is an integer number (36198495).

Almost surely, 2^1002106616 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 1002106616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158351840).

1002106616 is an abundant number, since it is smaller than the sum of its proper divisors (1314597064).

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

1002106616 is a wasteful number, since it uses less digits than its factorization.

1002106616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19944 (or 19940 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1002106616 is about 31656.0676016463. The cubic root of 1002106616 is about 1000.7017128173.

Adding to 1002106616 its reverse (6166012001), we get a palindrome (7168118617).

The spelling of 1002106616 in words is "one billion, two million, one hundred six thousand, six hundred sixteen".