106057521425856 has 1344 divisors, whose sum is σ = 395359223390208. Its totient is φ = 24388632576000.

The previous prime is 106057521425803. The next prime is 106057521425893. The reversal of 106057521425856 is 658524125750601.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×106057521425856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106057521425796 and 106057521425805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7405727176 + ... + 7405741496.

It is an arithmetic number, because the mean of its divisors is an integer number (294166088832).

Almost surely, 2^{106057521425856} is an apocalyptic number.

106057521425856 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 106057521425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197679611695104).

106057521425856 is an abundant number, since it is smaller than the sum of its proper divisors (289301701964352).

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

106057521425856 is a wasteful number, since it uses less digits than its factorization.

106057521425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 57.

The spelling of 106057521425856 in words is "one hundred six trillion, fifty-seven billion, five hundred twenty-one million, four hundred twenty-five thousand, eight hundred fifty-six".