106391657568 has 96 divisors (see below), whose sum is σ = 319714407936. Its totient is φ = 30346242048.

The previous prime is 106391657531. The next prime is 106391657573. The reversal of 106391657568 is 865756193601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106391657568² (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 265005 + ... + 531987.

It is an arithmetic number, because the mean of its divisors is an integer number (3330358416).

Almost surely, 2^106391657568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106391657568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159857203968).

106391657568 is an abundant number, since it is smaller than the sum of its proper divisors (213322750368).

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

106391657568 is a wasteful number, since it uses less digits than its factorization.

106391657568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267596 (or 267588 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 106391657568 in words is "one hundred six billion, three hundred ninety-one million, six hundred fifty-seven thousand, five hundred sixty-eight".