107830377936 has 120 divisors (see below), whose sum is σ = 321966874944. Its totient is φ = 33570800640.

The previous prime is 107830377929. The next prime is 107830377937. The reversal of 107830377936 is 639773038701.

It is a happy number.

107830377936 is a `hidden beast` number, since 107 + 83 + 0 + 377 + 93 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107830377937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152565 + ... + 488811.

Almost surely, 2^107830377936 is an apocalyptic number.

107830377936 is a gapful number since it is divisible by the number (16) 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 107830377936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160983437472).

107830377936 is an abundant number, since it is smaller than the sum of its proper divisors (214136497008).

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

107830377936 is a wasteful number, since it uses less digits than its factorization.

107830377936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336409 (or 336400 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 107830377936 in words is "one hundred seven billion, eight hundred thirty million, three hundred seventy-seven thousand, nine hundred thirty-six".