106068297287680 has 576 divisors, whose sum is σ = 320860224987120. Its totient is φ = 33354731225088.

The previous prime is 106068297287627. The next prime is 106068297287681. The reversal of 106068297287680 is 86782792860601.

It can be written as a sum of positive squares in 8 ways, for example, as 204940911616 + 105863356376064 = 452704^2 + 10288992^2 .

It is a super-2 number, since 2×106068297287680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is not an unprimeable number, because it can be changed into a prime (106068297287681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024040374 + ... + 1024143946.

Almost surely, 2^{106068297287680} is an apocalyptic number.

106068297287680 is a gapful number since it is divisible by the number (10) 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 106068297287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160430112493560).

106068297287680 is an abundant number, since it is smaller than the sum of its proper divisors (214791927699440).

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

106068297287680 is a wasteful number, since it uses less digits than its factorization.

106068297287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103784 (or 103757 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 70.

The spelling of 106068297287680 in words is "one hundred six trillion, sixty-eight billion, two hundred ninety-seven million, two hundred eighty-seven thousand, six hundred eighty".