101001564 has 72 divisors (see below), whose sum is σ = 264246528. Its totient is φ = 32503680.

The previous prime is 101001521. The next prime is 101001599. The reversal of 101001564 is 465100101.

101001564 is a `hidden beast` number, since 1 + 0 + 100 + 1 + 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 an unprimeable number.

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, 254214 + ... + 254610.

Almost surely, 2^101001564 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 101001564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132123264).

101001564 is an abundant number, since it is smaller than the sum of its proper divisors (163244964).

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

101001564 is a wasteful number, since it uses less digits than its factorization.

101001564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

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

The square root of 101001564 is about 10049.9534327279. The cubic root of 101001564 is about 465.7033545841.

Adding to 101001564 its reverse (465100101), we get a palindrome (566101665).

It can be divided in two parts, 10100 and 1564, that added together give a square (11664 = 108²).

The spelling of 101001564 in words is "one hundred one million, one thousand, five hundred sixty-four".