102560512 has 36 divisors (see below), whose sum is σ = 208610640. Its totient is φ = 50306048.

The previous prime is 102560449. The next prime is 102560539. The reversal of 102560512 is 215065201.

It is a zygodrome in base 2.

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 3 ways as a sum of consecutive naturals, for example, 9789 + ... + 17347.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^102560512 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 102560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104305320).

102560512 is an abundant number, since it is smaller than the sum of its proper divisors (106050128).

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

102560512 is an frugal number, since it uses more digits than its factorization.

102560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 102560512 is about 10127.2163993864. The cubic root of 102560512 is about 468.0871583841.

The spelling of 102560512 in words is "one hundred two million, five hundred sixty thousand, five hundred twelve".