101061 has 16 divisors (see below), whose sum is σ = 158400. Its totient is φ = 63504.

The previous prime is 101051. The next prime is 101063. The reversal of 101061 is 160101.

It is not a de Polignac number, because 101061 - 2⁹ = 100549 is a prime.

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

101061 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2¹⁰¹⁰⁶¹ is an apocalyptic number.

It is an amenable number.

101061 is a deficient number, since it is larger than the sum of its proper divisors (57339).

101061 is a wasteful number, since it uses less digits than its factorization.

101061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

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

The square root of 101061 is about 317.9009279634. The cubic root of 101061 is about 46.5794686889.

Adding to 101061 its reverse (160101), we get a palindrome (261162).

The spelling of 101061 in words is "one hundred one thousand, sixty-one".