107127325305 has 384 divisors, whose sum is σ = 261861465600. Its totient is φ = 40845772800.

The previous prime is 107127325303. The next prime is 107127325373. The reversal of 107127325305 is 503523721701.

It is a happy number.

107127325305 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 27 + 325 + 305 = 666.

It is not a de Polignac number, because 107127325305 - 2¹ = 107127325303 is a prime.

It is a super-2 number, since 2×107127325305² (a number of 23 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 107127325305.

It is not an unprimeable number, because it can be changed into a prime (107127325303) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 254458995 + ... + 254459415.

It is an arithmetic number, because the mean of its divisors is an integer number (681930900).

Almost surely, 2^107127325305 is an apocalyptic number.

107127325305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107127325305 is an abundant number, since it is smaller than the sum of its proper divisors (154734140295).

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

107127325305 is a wasteful number, since it uses less digits than its factorization.

107127325305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 107127325305 in words is "one hundred seven billion, one hundred twenty-seven million, three hundred twenty-five thousand, three hundred five".