10101564 has 72 divisors (see below), whose sum is σ = 28823760. Its totient is φ = 3057120.

The previous prime is 10101563. The next prime is 10101583. The reversal of 10101564 is 46510101.

10101564 is a `hidden beast` number, since 1 + 0 + 101 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12682 + ... + 13454.

It is an arithmetic number, because the mean of its divisors is an integer number (400330).

Almost surely, 2^10101564 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 10101564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411880).

10101564 is an abundant number, since it is smaller than the sum of its proper divisors (18722196).

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

10101564 is a wasteful number, since it uses less digits than its factorization.

10101564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10101564 is about 3178.2957697483. The cubic root of 10101564 is about 216.1703902447.

Adding to 10101564 its reverse (46510101), we get a palindrome (56611665).

The spelling of 10101564 in words is "ten million, one hundred one thousand, five hundred sixty-four".