101838 has 16 divisors (see below), whose sum is σ = 222336. Its totient is φ = 30840.

The previous prime is 101837. The next prime is 101839. The reversal of 101838 is 838101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101837) and next prime (101839).

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 (101833) 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, 706 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (13896).

2¹⁰¹⁸³⁸ is an apocalyptic number.

101838 is an abundant number, since it is smaller than the sum of its proper divisors (120498).

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

101838 is a wasteful number, since it uses less digits than its factorization.

101838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101838 is about 319.1206668331. The cubic root of 101838 is about 46.6985383186.

Adding to 101838 its reverse (838101), we get a palindrome (939939).

It can be divided in two parts, 101 and 838, that added together give a palindrome (939).

The spelling of 101838 in words is "one hundred one thousand, eight hundred thirty-eight".