108636528 has 480 divisors, whose sum is σ = 427472640. Its totient is φ = 23224320.

The previous prime is 108636503. The next prime is 108636529. The reversal of 108636528 is 825636801.

108636528 = 1827² + 1828² + ... + 1858².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108636529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5717703 + ... + 5717721.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^108636528 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 108636528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

108636528 is an abundant number, since it is smaller than the sum of its proper divisors (318836112).

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

108636528 is a wasteful number, since it uses less digits than its factorization.

108636528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 108636528 is about 10422.8848213918. The cubic root of 108636528 is about 477.1540624583.

It can be divided in two parts, 10863 and 6528, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 108636528 in words is "one hundred eight million, six hundred thirty-six thousand, five hundred twenty-eight".