106117111296 has 240 divisors, whose sum is σ = 351987292800. Its totient is φ = 30148153344.

The previous prime is 106117111283. The next prime is 106117111367. The reversal of 106117111296 is 692111711601.

106117111296 is a `hidden beast` number, since 1 + 0 + 611 + 7 + 1 + 11 + 29 + 6 = 666.

It is a super-2 number, since 2×106117111296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106117111296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5764635 + ... + 5783013.

It is an arithmetic number, because the mean of its divisors is an integer number (1466613720).

Almost surely, 2^106117111296 is an apocalyptic number.

106117111296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106117111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175993646400).

106117111296 is an abundant number, since it is smaller than the sum of its proper divisors (245870181504).

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

106117111296 is a wasteful number, since it uses less digits than its factorization.

106117111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18589 (or 18570 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

Adding to 106117111296 its reverse (692111711601), we get a palindrome (798228822897).

The spelling of 106117111296 in words is "one hundred six billion, one hundred seventeen million, one hundred eleven thousand, two hundred ninety-six".