107681280 has 160 divisors (see below), whose sum is σ = 393617664. Its totient is φ = 24600576.

The previous prime is 107681243. The next prime is 107681317. The reversal of 107681280 is 82186701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107681243) and next prime (107681317).

It is a tau number, because it is divible by the number of its divisors (160).

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, 52759 + ... + 54761.

Almost surely, 2^107681280 is an apocalyptic number.

107681280 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 107681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196808832).

107681280 is an abundant number, since it is smaller than the sum of its proper divisors (285936384).

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

107681280 is an equidigital number, since it uses as much as digits as its factorization.

107681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 107681280 is about 10376.9590921426. The cubic root of 107681280 is about 475.7513943197.

The spelling of 107681280 in words is "one hundred seven million, six hundred eighty-one thousand, two hundred eighty".