107288827007 has 32 divisors (see below), whose sum is σ = 120463096320. Its totient is φ = 95026314240.

The previous prime is 107288826977. The next prime is 107288827027. The reversal of 107288827007 is 700728882701.

It is not a de Polignac number, because 107288827007 - 2¹⁴ = 107288810623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107288827027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11955032 + ... + 11964002.

It is an arithmetic number, because the mean of its divisors is an integer number (3764471760).

Almost surely, 2^107288827007 is an apocalyptic number.

107288827007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

107288827007 is a deficient number, since it is larger than the sum of its proper divisors (13174269313).

107288827007 is a wasteful number, since it uses less digits than its factorization.

107288827007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503.

The product of its (nonzero) digits is 702464, while the sum is 50.

The spelling of 107288827007 in words is "one hundred seven billion, two hundred eighty-eight million, eight hundred twenty-seven thousand, seven".