102525472 has 48 divisors (see below), whose sum is σ = 232061760. Its totient is φ = 43676928.

The previous prime is 102525433. The next prime is 102525473. The reversal of 102525472 is 274525201.

It is a super-2 number, since 2×102525472² = 21022944817645568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102525472.

It is not an unprimeable number, because it can be changed into a prime (102525473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38818 + ... + 41374.

It is an arithmetic number, because the mean of its divisors is an integer number (4834620).

Almost surely, 2^102525472 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 102525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116030880).

102525472 is an abundant number, since it is smaller than the sum of its proper divisors (129536288).

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

102525472 is a wasteful number, since it uses less digits than its factorization.

102525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 102525472 is about 10125.4862599285. The cubic root of 102525472 is about 468.0338446802.

The spelling of 102525472 in words is "one hundred two million, five hundred twenty-five thousand, four hundred seventy-two".