110005226106156 has 144 divisors (see below), whose sum is σ = 284753344494528. Its totient is φ = 35796965990400.

The previous prime is 110005226106131. The next prime is 110005226106169. The reversal of 110005226106156 is 651601622500011.

110005226106156 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 5 + 2 + 26 + 10 + 615 + 6 = 666.

It is a super-2 number, since 2×110005226106156² (a number of 29 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 110005226106156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158783100 + ... + 159474396.

It is an arithmetic number, because the mean of its divisors is an integer number (1977453781212).

Almost surely, 2^{110005226106156} 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 110005226106156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142376672247264).

110005226106156 is an abundant number, since it is smaller than the sum of its proper divisors (174748118388372).

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

110005226106156 is a wasteful number, since it uses less digits than its factorization.

110005226106156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691912 (or 691907 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 110005226106156 its reverse (651601622500011), we get a palindrome (761606848606167).

The spelling of 110005226106156 in words is "one hundred ten trillion, five billion, two hundred twenty-six million, one hundred six thousand, one hundred fifty-six".