107268312144 has 80 divisors (see below), whose sum is σ = 320705822720. Its totient is φ = 30260131200.

The previous prime is 107268312143. The next prime is 107268312161. The reversal of 107268312144 is 441213862701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107268312143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994032 + ... + 2047119.

It is an arithmetic number, because the mean of its divisors is an integer number (4008822784).

Almost surely, 2^107268312144 is an apocalyptic number.

107268312144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107268312144 is an abundant number, since it is smaller than the sum of its proper divisors (213437510576).

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

107268312144 is a wasteful number, since it uses less digits than its factorization.

107268312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041248 (or 4041242 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 107268312144 in words is "one hundred seven billion, two hundred sixty-eight million, three hundred twelve thousand, one hundred forty-four".