107838 has 16 divisors (see below), whose sum is σ = 239760. Its totient is φ = 35928.

The previous prime is 107837. The next prime is 107839. The reversal of 107838 is 838701.

It is an interprime number because it is at equal distance from previous prime (107837) and next prime (107839).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (14985).

2¹⁰⁷⁸³⁸ is an apocalyptic number.

107838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

107838 is an abundant number, since it is smaller than the sum of its proper divisors (131922).

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

107838 is a wasteful number, since it uses less digits than its factorization.

107838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107838 is about 328.3869668547. The cubic root of 107838 is about 47.5982086278.

The spelling of 107838 in words is "one hundred seven thousand, eight hundred thirty-eight".