102001564 has 48 divisors (see below), whose sum is σ = 216941760. Its totient is φ = 40965120.

The previous prime is 102001553. The next prime is 102001567. The reversal of 102001564 is 465100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200142 + ... + 200650.

It is an arithmetic number, because the mean of its divisors is an integer number (4519620).

Almost surely, 2^102001564 is an apocalyptic number.

102001564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108470880).

102001564 is an abundant number, since it is smaller than the sum of its proper divisors (114940196).

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

102001564 is a wasteful number, since it uses less digits than its factorization.

102001564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102001564 is about 10099.5823676031. The cubic root of 102001564 is about 467.2352609024.

Adding to 102001564 its reverse (465100201), we get a palindrome (567101765).

The spelling of 102001564 in words is "one hundred two million, one thousand, five hundred sixty-four".