107070080 has 128 divisors (see below), whose sum is σ = 292254480. Its totient is φ = 37158912.

The previous prime is 107070011. The next prime is 107070107. The reversal of 107070080 is 80070701.

It can be written as a sum of positive squares in 8 ways, for example, as 47224384 + 59845696 = 6872^2 + 7736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107070080² = 22928004062412800, which contains 22 as substring.

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, 141062 + ... + 141818.

Almost surely, 2^107070080 is an apocalyptic number.

107070080 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 107070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146127240).

107070080 is an abundant number, since it is smaller than the sum of its proper divisors (185184400).

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

107070080 is a wasteful number, since it uses less digits than its factorization.

107070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 107070080 is about 10347.4673229733. The cubic root of 107070080 is about 474.8495627017.

The spelling of 107070080 in words is "one hundred seven million, seventy thousand, eighty".