106679447802720 has 768 divisors, whose sum is σ = 407588363320320. Its totient is φ = 25902101348352.

The previous prime is 106679447802689. The next prime is 106679447802737. The reversal of 106679447802720 is 27208744976601.

106679447802720 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 94 + 478 + 0 + 2 + 72 + 0 = 666.

It is a super-2 number, since 2×106679447802720² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2997185244 + ... + 2997220836.

It is an arithmetic number, because the mean of its divisors is an integer number (530714014740).

Almost surely, 2^{106679447802720} is an apocalyptic number.

106679447802720 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 106679447802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203794181660160).

106679447802720 is an abundant number, since it is smaller than the sum of its proper divisors (300908915517600).

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

106679447802720 is a wasteful number, since it uses less digits than its factorization.

106679447802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36356 (or 36342 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 106679447802720 in words is "one hundred six trillion, six hundred seventy-nine billion, four hundred forty-seven million, eight hundred two thousand, seven hundred twenty".