107268480 has 192 divisors, whose sum is σ = 404323920. Its totient is φ = 25989120.

The previous prime is 107268467. The next prime is 107268493. The reversal of 107268480 is 84862701.

It is an interprime number because it is at equal distance from previous prime (107268467) and next prime (107268493).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62514 + ... + 64206.

Almost surely, 2^107268480 is an apocalyptic number.

107268480 is a gapful number since it is divisible by the number (10) 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 107268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202161960).

107268480 is an abundant number, since it is smaller than the sum of its proper divisors (297055440).

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

107268480 is a wasteful number, since it uses less digits than its factorization.

107268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107268480 is about 10357.0497729807. The cubic root of 107268480 is about 475.1426792064.

The spelling of 107268480 in words is "one hundred seven million, two hundred sixty-eight thousand, four hundred eighty".