102825760 has 48 divisors (see below), whose sum is σ = 250774272. Its totient is φ = 39801600.

The previous prime is 102825733. The next prime is 102825763. The reversal of 102825760 is 67528201.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (102825763) 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, 5406 + ... + 15325.

It is an arithmetic number, because the mean of its divisors is an integer number (5224464).

Almost surely, 2^102825760 is an apocalyptic number.

102825760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102825760 is an abundant number, since it is smaller than the sum of its proper divisors (147948512).

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

102825760 is a wasteful number, since it uses less digits than its factorization.

102825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20777 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 102825760 is about 10140.3037429852. The cubic root of 102825760 is about 468.4903424744.

The spelling of 102825760 in words is "one hundred two million, eight hundred twenty-five thousand, seven hundred sixty".