101816 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 42240.

The previous prime is 101807. The next prime is 101833. The reversal of 101816 is 618101.

101816 = T₈₅ + T₈₆ + ... + T₁₀₆.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101794 and 101803.

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, 1100 + ... + 1188.

2¹⁰¹⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

101816 is an abundant number, since it is smaller than the sum of its proper divisors (124984).

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

101816 is a wasteful number, since it uses less digits than its factorization.

101816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 101816 is about 319.0861952514. The cubic root of 101816 is about 46.6951753243.

Adding to 101816 its reverse (618101), we get a palindrome (719917).

The spelling of 101816 in words is "one hundred one thousand, eight hundred sixteen".