107430691207980 has 192 divisors, whose sum is σ = 347500329845760. Its totient is φ = 24290166912000.

The previous prime is 107430691207943. The next prime is 107430691208023. The reversal of 107430691207980 is 89702196034701.

It is a happy number.

It is a super-3 number, since 3×107430691207980³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107430691207980.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45119566 + ... + 47440874.

It is an arithmetic number, because the mean of its divisors is an integer number (1809897551280).

Almost surely, 2^{107430691207980} is an apocalyptic number.

107430691207980 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 107430691207980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173750164922880).

107430691207980 is an abundant number, since it is smaller than the sum of its proper divisors (240069638637780).

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

107430691207980 is a wasteful number, since it uses less digits than its factorization.

107430691207980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322520 (or 2322518 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 107430691207980 in words is "one hundred seven trillion, four hundred thirty billion, six hundred ninety-one million, two hundred seven thousand, nine hundred eighty".