101840 has 40 divisors (see below), whose sum is σ = 252960. Its totient is φ = 38016.

The previous prime is 101839. The next prime is 101863. The reversal of 101840 is 48101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1487 + ... + 1553.

It is an arithmetic number, because the mean of its divisors is an integer number (6324).

2¹⁰¹⁸⁴⁰ is an apocalyptic number.

101840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480).

101840 is an abundant number, since it is smaller than the sum of its proper divisors (151120).

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

101840 is a wasteful number, since it uses less digits than its factorization.

101840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101840 is about 319.1238004286. The cubic root of 101840 is about 46.6988440213.

Adding to 101840 its reverse (48101), we get a palindrome (149941).

The spelling of 101840 in words is "one hundred one thousand, eight hundred forty".