106000600001056 has 96 divisors (see below), whose sum is σ = 220598913024000. Its totient is φ = 49999254600960.

The previous prime is 106000600001027. The next prime is 106000600001077. The reversal of 106000600001056 is 650100006000601.

It is a super-2 number, since 2×106000600001056² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106000600001056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252896745 + ... + 253315543.

It is an arithmetic number, because the mean of its divisors is an integer number (2297905344000).

Almost surely, 2^{106000600001056} is an apocalyptic number.

106000600001056 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 106000600001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110299456512000).

106000600001056 is an abundant number, since it is smaller than the sum of its proper divisors (114598313022944).

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

106000600001056 is a wasteful number, since it uses less digits than its factorization.

106000600001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420582 (or 420574 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 106000600001056 its reverse (650100006000601), we get a palindrome (756100606001657).

The spelling of 106000600001056 in words is "one hundred six trillion, six hundred million, one thousand, fifty-six".