102560825 has 24 divisors (see below), whose sum is σ = 130657560. Its totient is φ = 79833600.

The previous prime is 102560797. The next prime is 102560827. The reversal of 102560825 is 528065201.

It can be written as a sum of positive squares in 12 ways, for example, as 76510009 + 26050816 = 8747^2 + 5104^2 .

It is not a de Polignac number, because 102560825 - 2¹⁰ = 102559801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102560827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165917 + ... + 166533.

It is an arithmetic number, because the mean of its divisors is an integer number (5444065).

Almost surely, 2^102560825 is an apocalyptic number.

It is an amenable number.

102560825 is a deficient number, since it is larger than the sum of its proper divisors (28096735).

102560825 is a wasteful number, since it uses less digits than its factorization.

102560825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 102560825 is about 10127.2318527819. The cubic root of 102560825 is about 468.0876345619.

The spelling of 102560825 in words is "one hundred two million, five hundred sixty thousand, eight hundred twenty-five".