102165450 has 96 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 26208000.

The previous prime is 102165449. The next prime is 102165457. The reversal of 102165450 is 54561201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102165450.

It is not an unprimeable number, because it can be changed into a prime (102165457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564360 + ... + 564540.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^102165450 is an apocalyptic number.

102165450 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 102165450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

102165450 is an abundant number, since it is smaller than the sum of its proper divisors (161067702).

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

102165450 is a wasteful number, since it uses less digits than its factorization.

102165450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 102165450 is about 10107.6926150334. The cubic root of 102165450 is about 467.4853627682.

The spelling of 102165450 in words is "one hundred two million, one hundred sixty-five thousand, four hundred fifty".