106781073960960 has 936 divisors, whose sum is σ = 431770897340640. Its totient is φ = 24338377211904.

The previous prime is 106781073960919. The next prime is 106781073961033. The reversal of 106781073960960 is 69069370187601.

106781073960960 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 10 + 7 + 3 + 9 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×106781073960960² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3242356654 + ... + 3242389586.

It is an arithmetic number, because the mean of its divisors is an integer number (461293693740).

Almost surely, 2^{106781073960960} is an apocalyptic number.

106781073960960 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 106781073960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215885448670320).

106781073960960 is an abundant number, since it is smaller than the sum of its proper divisors (324989823379680).

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

106781073960960 is a wasteful number, since it uses less digits than its factorization.

106781073960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33341 (or 33309 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 106781073960960 in words is "one hundred six trillion, seven hundred eighty-one billion, seventy-three million, nine hundred sixty thousand, nine hundred sixty".