107814 has 32 divisors (see below), whose sum is σ = 262656. Its totient is φ = 28800.

The previous prime is 107791. The next prime is 107827. The reversal of 107814 is 418701.

107814 = T₁₇₂ + T₁₇₃ + ... + T₁₇₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107814.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2¹⁰⁷⁸¹⁴ is an apocalyptic number.

107814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328).

107814 is an abundant number, since it is smaller than the sum of its proper divisors (154842).

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

107814 is a wasteful number, since it uses less digits than its factorization.

107814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 107814 is about 328.3504225671. The cubic root of 107814 is about 47.5946772760.

The spelling of 107814 in words is "one hundred seven thousand, eight hundred fourteen".