107273257440 has 96 divisors (see below), whose sum is σ = 337992310656. Its totient is φ = 28599298560.

The previous prime is 107273257393. The next prime is 107273257453. The reversal of 107273257440 is 44752372701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107273257392 and 107273257401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146335 + ... + 2195745.

It is an arithmetic number, because the mean of its divisors is an integer number (3520753236).

Almost surely, 2^107273257440 is an apocalyptic number.

107273257440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107273257440 is an abundant number, since it is smaller than the sum of its proper divisors (230719053216).

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

107273257440 is a wasteful number, since it uses less digits than its factorization.

107273257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53952 (or 53944 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 107273257440 in words is "one hundred seven billion, two hundred seventy-three million, two hundred fifty-seven thousand, four hundred forty".