101016 has 48 divisors (see below), whose sum is σ = 290160. Its totient is φ = 31680.

The previous prime is 101009. The next prime is 101021. The reversal of 101016 is 610101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 = 100989 and 101007.

It is a congruent number.

It is an unprimeable number.

101016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2¹⁰¹⁰¹⁶ 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 101016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080).

101016 is an abundant number, since it is smaller than the sum of its proper divisors (189144).

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

101016 is a wasteful number, since it uses less digits than its factorization.

101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101016 is about 317.8301433156. The cubic root of 101016 is about 46.5725540951.

Adding to 101016 its reverse (610101), we get a palindrome (711117).

It can be divided in two parts, 10101 and 6, that multiplied together give a palindrome (60606).

The spelling of 101016 in words is "one hundred one thousand, sixteen".