102252544 has 45 divisors (see below), whose sum is σ = 207120207. Its totient is φ = 50479104.

The previous prime is 102252541. The next prime is 102252551. The reversal of 102252544 is 445252201.

The square root of 102252544 is 10112.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102252541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1294297 + ... + 1294375.

Almost surely, 2^102252544 is an apocalyptic number.

102252544 is the 10112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102252544

102252544 is an abundant number, since it is smaller than the sum of its proper divisors (104867663).

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

102252544 is an frugal number, since it uses more digits than its factorization.

102252544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The cubic root of 102252544 is about 467.6181656745.

Multiplying 102252544 by its sum of digits (25), we get a square (2556313600 = 50560²).

It can be divided in two parts, 10225 and 2544, that added together give a square (12769 = 113²).

The spelling of 102252544 in words is "one hundred two million, two hundred fifty-two thousand, five hundred forty-four".