106256274612576 has 576 divisors, whose sum is σ = 322485911193600. Its totient is φ = 30573683712000.

The previous prime is 106256274612427. The next prime is 106256274612611. The reversal of 106256274612576 is 675216472652601.

It is a super-2 number, since 2×106256274612576² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4198346610 + ... + 4198371918.

It is an arithmetic number, because the mean of its divisors is an integer number (559871373600).

Almost surely, 2^{106256274612576} is an apocalyptic number.

106256274612576 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 106256274612576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161242955596800).

106256274612576 is an abundant number, since it is smaller than the sum of its proper divisors (216229636581024).

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

106256274612576 is a wasteful number, since it uses less digits than its factorization.

106256274612576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25595 (or 25576 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 106256274612576 in words is "one hundred six trillion, two hundred fifty-six billion, two hundred seventy-four million, six hundred twelve thousand, five hundred seventy-six".