102207144 has 96 divisors (see below), whose sum is σ = 280385280. Its totient is φ = 31030272.

The previous prime is 102207143. The next prime is 102207151. The reversal of 102207144 is 441702201.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102207144.

It is not an unprimeable number, because it can be changed into a prime (102207143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458217 + ... + 458439.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2^102207144 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 102207144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140192640).

102207144 is an abundant number, since it is smaller than the sum of its proper divisors (178178136).

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

102207144 is a wasteful number, since it uses less digits than its factorization.

102207144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 102207144 is about 10109.7548931712. The cubic root of 102207144 is about 467.5489481382.

Adding to 102207144 its reverse (441702201), we get a palindrome (543909345).

The spelling of 102207144 in words is "one hundred two million, two hundred seven thousand, one hundred forty-four".