107105338368 has 990 divisors, whose sum is σ = 398047374846. Its totient is φ = 28593782784.

The previous prime is 107105338309. The next prime is 107105338369. The reversal of 107105338368 is 863833501701.

107105338368 is a `hidden beast` number, since 10 + 71 + 0 + 533 + 8 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93900570624 + 13204767744 = 306432^2 + 114912^2 .

It is a super-2 number, since 2×107105338368² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107105338369) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1467196380 + ... + 1467196452.

Almost surely, 2^107105338368 is an apocalyptic number.

107105338368 is a gapful number since it is divisible by the number (18) 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 107105338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199023687423).

107105338368 is an abundant number, since it is smaller than the sum of its proper divisors (290942036478).

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

107105338368 is an equidigital number, since it uses as much as digits as its factorization.

107105338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107105338368 in words is "one hundred seven billion, one hundred five million, three hundred thirty-eight thousand, three hundred sixty-eight".