107807812281 has 27 divisors (see below), whose sum is σ = 168642506799. Its totient is φ = 66335388912.

The previous prime is 107807812279. The next prime is 107807812291. The reversal of 107807812281 is 182218708701.

It is a happy number.

The square root of 107807812281 is 328341.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15947901225 + 91859911056 = 126285^2 + 303084^2 .

It is not a de Polignac number, because 107807812281 - 2¹ = 107807812279 is a prime.

It is a super-2 number, since 2×107807812281² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107807812291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12801090 + ... + 12809508.

Almost surely, 2^107807812281 is an apocalyptic number.

107807812281 is the 328341-st square number.

107807812281 is the 164171-st centered octagonal number.

It is an amenable number.

107807812281 is a deficient number, since it is larger than the sum of its proper divisors (60834694518).

107807812281 is an frugal number, since it uses more digits than its factorization.

107807812281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 107807812281 in words is "one hundred seven billion, eight hundred seven million, eight hundred twelve thousand, two hundred eighty-one".