106669521713664 has 960 divisors, whose sum is σ = 403356377825280. Its totient is φ = 27224987811840.

The previous prime is 106669521713659. The next prime is 106669521713737. The reversal of 106669521713664 is 466317125966601.

It is a happy number.

It is a super-2 number, since 2×106669521713664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506862349 + ... + 507072755.

It is an arithmetic number, because the mean of its divisors is an integer number (420162893568).

Almost surely, 2^{106669521713664} is an apocalyptic number.

106669521713664 is a gapful number since it is divisible by the number (14) 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 106669521713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201678188912640).

106669521713664 is an abundant number, since it is smaller than the sum of its proper divisors (296686856111616).

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

106669521713664 is a wasteful number, since it uses less digits than its factorization.

106669521713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210498 (or 210463 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 106669521713664 in words is "one hundred six trillion, six hundred sixty-nine billion, five hundred twenty-one million, seven hundred thirteen thousand, six hundred sixty-four".