107140820 has 12 divisors (see below), whose sum is σ = 224995764. Its totient is φ = 42856320.

The previous prime is 107140811. The next prime is 107140823. The reversal of 107140820 is 28041701.

It can be written as a sum of positive squares in 2 ways, for example, as 13205956 + 93934864 = 3634^2 + 9692^2 .

It is a super-2 number, since 2×107140820² = 22958310620544800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107140823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2678501 + ... + 2678540.

It is an arithmetic number, because the mean of its divisors is an integer number (18749647).

Almost surely, 2^107140820 is an apocalyptic number.

107140820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107140820 is an abundant number, since it is smaller than the sum of its proper divisors (117854944).

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

107140820 is a wasteful number, since it uses less digits than its factorization.

107140820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5357050 (or 5357048 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 107140820 is about 10350.8849863188. The cubic root of 107140820 is about 474.9541156047.

The spelling of 107140820 in words is "one hundred seven million, one hundred forty thousand, eight hundred twenty".