105513564 has 48 divisors (see below), whose sum is σ = 267126048. Its totient is φ = 32222208.

The previous prime is 105513563. The next prime is 105513599. The reversal of 105513564 is 465315501.

It is a super-2 number, since 2×105513564² = 22266224375964192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513563) 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, 18904 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (5565126).

Almost surely, 2^105513564 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 105513564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133563024).

105513564 is an abundant number, since it is smaller than the sum of its proper divisors (161612484).

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

105513564 is a wasteful number, since it uses less digits than its factorization.

105513564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105513564 is about 10271.9795560544. The cubic root of 105513564 is about 472.5373022817.

The spelling of 105513564 in words is "one hundred five million, five hundred thirteen thousand, five hundred sixty-four".