103851 has 12 divisors (see below), whose sum is σ = 163800. Its totient is φ = 62880.

The previous prime is 103843. The next prime is 103867. The reversal of 103851 is 158301.

It is a happy number.

It is not a de Polignac number, because 103851 - 2³ = 103843 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2¹⁰³⁸⁵¹ is an apocalyptic number.

103851 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103851 is a deficient number, since it is larger than the sum of its proper divisors (59949).

103851 is a wasteful number, since it uses less digits than its factorization.

103851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 103851 is about 322.2592124362. The cubic root of 103851 is about 47.0042247598.

It can be divided in two parts, 1038 and 51, that added together give a square (1089 = 33²).

The spelling of 103851 in words is "one hundred three thousand, eight hundred fifty-one".