107107812 has 48 divisors (see below), whose sum is σ = 317358720. Its totient is φ = 30602016.

The previous prime is 107107811. The next prime is 107107813. The reversal of 107107812 is 218701701.

It is an interprime number because it is at equal distance from previous prime (107107811) and next prime (107107813).

It is a super-2 number, since 2×107107812² = 22944166782854688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107107811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70083 + ... + 71594.

It is an arithmetic number, because the mean of its divisors is an integer number (6611640).

Almost surely, 2^107107812 is an apocalyptic number.

107107812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107107812 is an abundant number, since it is smaller than the sum of its proper divisors (210250908).

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

107107812 is a wasteful number, since it uses less digits than its factorization.

107107812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141697 (or 141689 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 107107812 is about 10349.2904104581. The cubic root of 107107812 is about 474.9053358907.

The spelling of 107107812 in words is "one hundred seven million, one hundred seven thousand, eight hundred twelve".