107206304079000 has 512 divisors, whose sum is σ = 385798982400000. Its totient is φ = 24278582476800.

The previous prime is 107206304078999. The next prime is 107206304079073. The reversal of 107206304079000 is 970403602701.

It is a super-2 number, since 2×107206304079000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107206304079000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1504635376 + ... + 1504706624.

It is an arithmetic number, because the mean of its divisors is an integer number (753513637500).

Almost surely, 2^{107206304079000} is an apocalyptic number.

107206304079000 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 107206304079000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192899491200000).

107206304079000 is an abundant number, since it is smaller than the sum of its proper divisors (278592678321000).

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

107206304079000 is a wasteful number, since it uses less digits than its factorization.

107206304079000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71940 (or 71926 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 107206304079000 in words is "one hundred seven trillion, two hundred six billion, three hundred four million, seventy-nine thousand".