101564 has 6 divisors (see below), whose sum is σ = 177744. Its totient is φ = 50780.

The previous prime is 101561. The next prime is 101573. The reversal of 101564 is 465101.

It is a happy number.

It is a plaindrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12692 + ... + 12699.

It is an arithmetic number, because the mean of its divisors is an integer number (29624).

2¹⁰¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

101564 is a deficient number, since it is larger than the sum of its proper divisors (76180).

101564 is a wasteful number, since it uses less digits than its factorization.

101564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25395 (or 25393 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101564 is about 318.6910729845. The cubic root of 101564 is about 46.6566191521.

Adding to 101564 its reverse (465101), we get a palindrome (566665).

The spelling of 101564 in words is "one hundred one thousand, five hundred sixty-four".