107416881 has 64 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 58605120.

The previous prime is 107416867. The next prime is 107416889. The reversal of 107416881 is 188614701.

It is not a de Polignac number, because 107416881 - 2⁷ = 107416753 is a prime.

It is a super-2 number, since 2×107416881² = 23076772647536322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107416889) 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 63 ways as a sum of consecutive naturals, for example, 165700 + ... + 166346.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^107416881 is an apocalyptic number.

107416881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107416881 is a deficient number, since it is larger than the sum of its proper divisors (84183759).

107416881 is a wasteful number, since it uses less digits than its factorization.

107416881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 107416881 is about 10364.2115474357. The cubic root of 107416881 is about 475.3616909086.

It can be divided in two parts, 1074 and 16881, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 107416881 in words is "one hundred seven million, four hundred sixteen thousand, eight hundred eighty-one".