106685263462848 has 448 divisors, whose sum is σ = 344531016499200. Its totient is φ = 29067999206400.

The previous prime is 106685263462823. The next prime is 106685263462867. The reversal of 106685263462848 is 848264362586601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106685263462848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 63 ways as a sum of consecutive naturals, for example, 501255333 + ... + 501468123.

Almost surely, 2^{106685263462848} 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 106685263462848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172265508249600).

106685263462848 is an abundant number, since it is smaller than the sum of its proper divisors (237845753036352).

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

106685263462848 is a wasteful number, since it uses less digits than its factorization.

106685263462848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213181 (or 213157 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 69.

The spelling of 106685263462848 in words is "one hundred six trillion, six hundred eighty-five billion, two hundred sixty-three million, four hundred sixty-two thousand, eight hundred forty-eight".