107135905230 has 128 divisors (see below), whose sum is σ = 287188070400. Its totient is φ = 28420751232.

The previous prime is 107135905213. The next prime is 107135905231. The reversal of 107135905230 is 32509531701.

107135905230 is a `hidden beast` number, since 1 + 0 + 7 + 13 + 590 + 52 + 3 + 0 = 666.

107135905230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107135905230² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107135905231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58768099 + ... + 58769921.

It is an arithmetic number, because the mean of its divisors is an integer number (2243656800).

Almost surely, 2^107135905230 is an apocalyptic number.

107135905230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107135905230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143594035200).

107135905230 is an abundant number, since it is smaller than the sum of its proper divisors (180052165170).

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

107135905230 is a wasteful number, since it uses less digits than its factorization.

107135905230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 107135905230 in words is "one hundred seven billion, one hundred thirty-five million, nine hundred five thousand, two hundred thirty".