102221040 has 80 divisors (see below), whose sum is σ = 322300800. Its totient is φ = 26793216.

The previous prime is 102220997. The next prime is 102221071. The reversal of 102221040 is 40122201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10551 + ... + 17769.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 2^102221040 is an apocalyptic number.

102221040 is a gapful number since it is divisible by the number (10) 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 102221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161150400).

102221040 is an abundant number, since it is smaller than the sum of its proper divisors (220079760).

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

102221040 is a wasteful number, since it uses less digits than its factorization.

102221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102221040 is about 10110.4421268311. The cubic root of 102221040 is about 467.5701363693.

Adding to 102221040 its reverse (40122201), we get a palindrome (142343241).

The spelling of 102221040 in words is "one hundred two million, two hundred twenty-one thousand, forty".