107270820 has 36 divisors (see below), whose sum is σ = 325388700. Its totient is φ = 28605504.

The previous prime is 107270809. The next prime is 107270831. The reversal of 107270820 is 28072701.

107270820 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107270809) and next prime (107270831).

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 63393444 = 6624^2 + 7962^2 .

It is a tau number, because it is divible by the number of its divisors (36).

107270820 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297795 + ... + 298154.

It is an arithmetic number, because the mean of its divisors is an integer number (9038575).

Almost surely, 2^107270820 is an apocalyptic number.

107270820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107270820 is an abundant number, since it is smaller than the sum of its proper divisors (218117880).

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

107270820 is a wasteful number, since it uses less digits than its factorization.

107270820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595964 (or 595959 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 107270820 is about 10357.1627388972. The cubic root of 107270820 is about 475.1461341691.

The spelling of 107270820 in words is "one hundred seven million, two hundred seventy thousand, eight hundred twenty".