10106111106 has 288 divisors, whose sum is σ = 28326924288. Its totient is φ = 2547417600.

The previous prime is 10106111089. The next prime is 10106111117. The reversal of 10106111106 is 60111160101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79575615 + ... + 79575741.

It is an arithmetic number, because the mean of its divisors is an integer number (98357376).

Almost surely, 2^10106111106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106111106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163462144).

10106111106 is an abundant number, since it is smaller than the sum of its proper divisors (18220813182).

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

10106111106 is a wasteful number, since it uses less digits than its factorization.

10106111106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10106111106 its reverse (60111160101), we get a palindrome (70217271207).

It can be divided in two parts, 1010 and 6111106, that added together give a palindrome (6112116).

The spelling of 10106111106 in words is "ten billion, one hundred six million, one hundred eleven thousand, one hundred six".