106222622155056 has 600 divisors, whose sum is σ = 340439264461296. Its totient is φ = 31709998817280.

The previous prime is 106222622155037. The next prime is 106222622155087. The reversal of 106222622155056 is 650551226222601.

106222622155056 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 2 + 2 + 622 + 15 + 5 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×106222622155056² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 31492029786 + ... + 31492033158.

Almost surely, 2^{106222622155056} is an apocalyptic number.

106222622155056 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 106222622155056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170219632230648).

106222622155056 is an abundant number, since it is smaller than the sum of its proper divisors (234216642306240).

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

106222622155056 is a wasteful number, since it uses less digits than its factorization.

106222622155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 106222622155056 its reverse (650551226222601), we get a palindrome (756773848377657).

The spelling of 106222622155056 in words is "one hundred six trillion, two hundred twenty-two billion, six hundred twenty-two million, one hundred fifty-five thousand, fifty-six".