106607968534080 has 560 divisors, whose sum is σ = 429888786022080. Its totient is φ = 24860804124672.

The previous prime is 106607968534073. The next prime is 106607968534091. The reversal of 106607968534080 is 80435869706601.

106607968534080 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 7 + 96 + 8 + 534 + 0 + 8 + 0 = 666.

It is a super-4 number, since 4×106607968534080⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106607968533999 and 106607968534017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1923594 + ... + 14728073.

It is an arithmetic number, because the mean of its divisors is an integer number (767658546468).

Almost surely, 2^{106607968534080} is an apocalyptic number.

106607968534080 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 106607968534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214944393011040).

106607968534080 is an abundant number, since it is smaller than the sum of its proper divisors (323280817488000).

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

106607968534080 is a wasteful number, since it uses less digits than its factorization.

106607968534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16651728 (or 16651709 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 106607968534080 in words is "one hundred six trillion, six hundred seven billion, nine hundred sixty-eight million, five hundred thirty-four thousand, eighty".