107929855782 has 144 divisors (see below), whose sum is σ = 295605087120. Its totient is φ = 29004417792.

The previous prime is 107929855763. The next prime is 107929855783. The reversal of 107929855782 is 287558929701.

107929855782 is a `hidden beast` number, since 1 + 0 + 79 + 2 + 9 + 8 + 557 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107929855783) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69676344 + ... + 69677892.

It is an arithmetic number, because the mean of its divisors is an integer number (2052813105).

Almost surely, 2^107929855782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107929855782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147802543560).

107929855782 is an abundant number, since it is smaller than the sum of its proper divisors (187675231338).

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

107929855782 is an equidigital number, since it uses as much as digits as its factorization.

107929855782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 107929855782 in words is "one hundred seven billion, nine hundred twenty-nine million, eight hundred fifty-five thousand, seven hundred eighty-two".