107816 has 8 divisors (see below), whose sum is σ = 202170. Its totient is φ = 53904.

The previous prime is 107791. The next prime is 107827. The reversal of 107816 is 618701.

107816 = T₁₀₈ + T₁₀₉ + ... + T₁₂₃.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 23716 = 290^2 + 154^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 107791 and 107800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6731 + ... + 6746.

2¹⁰⁷⁸¹⁶ is an apocalyptic number.

It is an amenable number.

107816 is a deficient number, since it is larger than the sum of its proper divisors (94354).

107816 is a wasteful number, since it uses less digits than its factorization.

107816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 107816 is about 328.3534680798. The cubic root of 107816 is about 47.5949715753.

The spelling of 107816 in words is "one hundred seven thousand, eight hundred sixteen".