102825936 has 120 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 33561216.

The previous prime is 102825907. The next prime is 102825937. The reversal of 102825936 is 639528201.

It is a super-2 number, since 2×102825936² = 21146346228552192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102825936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102825937) 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, 205815 + ... + 206313.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^102825936 is an apocalyptic number.

102825936 is a gapful number since it is divisible by the number (16) 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 102825936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

102825936 is an abundant number, since it is smaller than the sum of its proper divisors (201842064).

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

102825936 is an equidigital number, since it uses as much as digits as its factorization.

102825936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 102825936 is about 10140.3124212225. The cubic root of 102825936 is about 468.4906097688.

The spelling of 102825936 in words is "one hundred two million, eight hundred twenty-five thousand, nine hundred thirty-six".