106072011222156 has 192 divisors, whose sum is σ = 316579640294400. Its totient is φ = 30085298339328.

The previous prime is 106072011222139. The next prime is 106072011222157. The reversal of 106072011222156 is 651222110270601.

106072011222156 is a `hidden beast` number, since 1 + 0 + 607 + 2 + 0 + 1 + 1 + 22 + 21 + 5 + 6 = 666.

It is a super-2 number, since 2×106072011222156² (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 106072011222156.

It is not an unprimeable number, because it can be changed into a prime (106072011222157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208106850 + ... + 1208194646.

It is an arithmetic number, because the mean of its divisors is an integer number (1648852293200).

Almost surely, 2^{106072011222156} 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 106072011222156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158289820147200).

106072011222156 is an abundant number, since it is smaller than the sum of its proper divisors (210507629072244).

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

106072011222156 is a wasteful number, since it uses less digits than its factorization.

106072011222156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99453 (or 99445 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 106072011222156 its reverse (651222110270601), we get a palindrome (757294121492757).

The spelling of 106072011222156 in words is "one hundred six trillion, seventy-two billion, eleven million, two hundred twenty-two thousand, one hundred fifty-six".