102812540 has 48 divisors (see below), whose sum is σ = 225650880. Its totient is φ = 39298560.

The previous prime is 102812539. The next prime is 102812573. The reversal of 102812540 is 45218201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58880 + ... + 60600.

It is an arithmetic number, because the mean of its divisors is an integer number (4701060).

Almost surely, 2^102812540 is an apocalyptic number.

102812540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102812540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

102812540 is an abundant number, since it is smaller than the sum of its proper divisors (122838340).

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

102812540 is a wasteful number, since it uses less digits than its factorization.

102812540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 102812540 is about 10139.6518677911. The cubic root of 102812540 is about 468.4702641471.

It can be divided in two parts, 10281 and 2540, that added together give a palindrome (12821).

The spelling of 102812540 in words is "one hundred two million, eight hundred twelve thousand, five hundred forty".