102825450 has 336 divisors, whose sum is σ = 364310016. Its totient is φ = 20995200.

The previous prime is 102825449. The next prime is 102825451. The reversal of 102825450 is 54528201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102825449) and next prime (102825451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102825451) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3316935 + ... + 3316965.

It is an arithmetic number, because the mean of its divisors is an integer number (1084256).

Almost surely, 2^102825450 is an apocalyptic number.

102825450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102825450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182155008).

102825450 is an abundant number, since it is smaller than the sum of its proper divisors (261484566).

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

102825450 is a wasteful number, since it uses less digits than its factorization.

102825450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

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

The square root of 102825450 is about 10140.2884574355. The cubic root of 102825450 is about 468.4898716710.

The spelling of 102825450 in words is "one hundred two million, eight hundred twenty-five thousand, four hundred fifty".