102536544 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 30694400.

The previous prime is 102536527. The next prime is 102536557. The reversal of 102536544 is 445635201.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 93439 + ... + 94529.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^102536544 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 102536544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

102536544 is an abundant number, since it is smaller than the sum of its proper divisors (194662176).

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

102536544 is a wasteful number, since it uses less digits than its factorization.

102536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 102536544 is about 10126.0329843429. The cubic root of 102536544 is about 468.0506921494.

The spelling of 102536544 in words is "one hundred two million, five hundred thirty-six thousand, five hundred forty-four".