102825540 has 72 divisors (see below), whose sum is σ = 319534488. Its totient is φ = 26749440.

The previous prime is 102825539. The next prime is 102825563. The reversal of 102825540 is 45528201.

It is a happy number.

102825540 is a `hidden beast` number, since 102 + 8 + 2 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16112196 + 86713344 = 4014^2 + 9312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414 + ... + 14346.

It is an arithmetic number, because the mean of its divisors is an integer number (4437979).

Almost surely, 2^102825540 is an apocalyptic number.

102825540 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 102825540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159767244).

102825540 is an abundant number, since it is smaller than the sum of its proper divisors (216708948).

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

102825540 is a wasteful number, since it uses less digits than its factorization.

102825540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13989 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 102825540 is about 10140.2928951781. The cubic root of 102825540 is about 468.4900083559.

The spelling of 102825540 in words is "one hundred two million, eight hundred twenty-five thousand, five hundred forty".