10335116106 has 112 divisors (see below), whose sum is σ = 27480643200. Its totient is φ = 2850984864.

The previous prime is 10335116087. The next prime is 10335116107. The reversal of 10335116106 is 60161153301.

10335116106 is a `hidden beast` number, since 1 + 0 + 3 + 35 + 11 + 610 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10335116106.

It is not an unprimeable number, because it can be changed into a prime (10335116107) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 278515 + ... + 313433.

Almost surely, 2^10335116106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10335116106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740321600).

10335116106 is an abundant number, since it is smaller than the sum of its proper divisors (17145527094).

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

10335116106 is an equidigital number, since it uses as much as digits as its factorization.

10335116106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34975 (or 34960 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 10335116106 its reverse (60161153301), we get a palindrome (70496269407).

The spelling of 10335116106 in words is "ten billion, three hundred thirty-five million, one hundred sixteen thousand, one hundred six".