107430271200 has 864 divisors, whose sum is σ = 466507641600. Its totient is φ = 22713384960.

The previous prime is 107430271183. The next prime is 107430271241. The reversal of 107430271200 is 2172034701.

It is a happy number.

107430271200 is a `hidden beast` number, since 1 + 0 + 7 + 430 + 27 + 1 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41175496 + ... + 41178104.

It is an arithmetic number, because the mean of its divisors is an integer number (539939400).

Almost surely, 2^107430271200 is an apocalyptic number.

107430271200 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 107430271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233253820800).

107430271200 is an abundant number, since it is smaller than the sum of its proper divisors (359077370400).

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

107430271200 is a wasteful number, since it uses less digits than its factorization.

107430271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 107430271200 in words is "one hundred seven billion, four hundred thirty million, two hundred seventy-one thousand, two hundred".