107633745312 has 144 divisors (see below), whose sum is σ = 289629551232. Its totient is φ = 34997478400.

The previous prime is 107633745301. The next prime is 107633745319. The reversal of 107633745312 is 213547336701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107633745319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45780937 + ... + 45783287.

It is an arithmetic number, because the mean of its divisors is an integer number (2011316328).

Almost surely, 2^107633745312 is an apocalyptic number.

107633745312 is a gapful number since it is divisible by the number (12) 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 107633745312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144814775616).

107633745312 is an abundant number, since it is smaller than the sum of its proper divisors (181995805920).

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

107633745312 is a wasteful number, since it uses less digits than its factorization.

107633745312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 107633745312 in words is "one hundred seven billion, six hundred thirty-three million, seven hundred forty-five thousand, three hundred twelve".