107140575906 has 256 divisors, whose sum is σ = 314539545600. Its totient is φ = 26228883456.

The previous prime is 107140575853. The next prime is 107140575931. The reversal of 107140575906 is 609575041701.

107140575906 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 0 + 57 + 590 + 6 = 666.

It is a super-2 number, since 2×107140575906² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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 127 ways as a sum of consecutive naturals, for example, 6089490 + ... + 6107058.

It is an arithmetic number, because the mean of its divisors is an integer number (1228670100).

Almost surely, 2^107140575906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107140575906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157269772800).

107140575906 is an abundant number, since it is smaller than the sum of its proper divisors (207398969694).

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

107140575906 is a wasteful number, since it uses less digits than its factorization.

107140575906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17690 (or 17684 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 107140575906 in words is "one hundred seven billion, one hundred forty million, five hundred seventy-five thousand, nine hundred six".