102165444 has 72 divisors (see below), whose sum is σ = 276422328. Its totient is φ = 31703040.

The previous prime is 102165409. The next prime is 102165449. The reversal of 102165444 is 444561201.

102165444 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 654 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36360900 + 65804544 = 6030^2 + 8112^2 .

It is not an unprimeable number, because it can be changed into a prime (102165449) 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, 58504 + ... + 60224.

It is an arithmetic number, because the mean of its divisors is an integer number (3839199).

Almost surely, 2^102165444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102165444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138211164).

102165444 is an abundant number, since it is smaller than the sum of its proper divisors (174256884).

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

102165444 is a wasteful number, since it uses less digits than its factorization.

102165444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102165444 is about 10107.6923182297. The cubic root of 102165444 is about 467.4853536167.

The spelling of 102165444 in words is "one hundred two million, one hundred sixty-five thousand, four hundred forty-four".