107073812798208 has 648 divisors, whose sum is σ = 330956214104880. Its totient is φ = 34146120499200.

The previous prime is 107073812798179. The next prime is 107073812798213. The reversal of 107073812798208 is 802897218370701.

107073812798208 is a `hidden beast` number, since 10 + 7 + 0 + 73 + 81 + 279 + 8 + 208 = 666.

It is a super-2 number, since 2×107073812798208² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35210065168 + ... + 35210068208.

It is an arithmetic number, because the mean of its divisors is an integer number (510734898310).

Almost surely, 2^{107073812798208} is an apocalyptic number.

107073812798208 is a gapful number since it is divisible by the number (18) 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 107073812798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165478107052440).

107073812798208 is an abundant number, since it is smaller than the sum of its proper divisors (223882401306672).

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

107073812798208 is an frugal number, since it uses more digits than its factorization.

107073812798208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 107073812798208 in words is "one hundred seven trillion, seventy-three billion, eight hundred twelve million, seven hundred ninety-eight thousand, two hundred eight".