106385826571648 has 64 divisors (see below), whose sum is σ = 228249862948800. Its totient is φ = 49099809927168.

The previous prime is 106385826571639. The next prime is 106385826571693. The reversal of 106385826571648 is 846175628583601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106385826571648² (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 7 ways as a sum of consecutive naturals, for example, 61417668 + ... + 63126076.

It is an arithmetic number, because the mean of its divisors is an integer number (3566404108575).

Almost surely, 2^{106385826571648} is an apocalyptic number.

It is an amenable number.

106385826571648 is an abundant number, since it is smaller than the sum of its proper divisors (121864036377152).

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

106385826571648 is a wasteful number, since it uses less digits than its factorization.

106385826571648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745859 (or 1745847 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 70.

The spelling of 106385826571648 in words is "one hundred six trillion, three hundred eighty-five billion, eight hundred twenty-six million, five hundred seventy-one thousand, six hundred forty-eight".