102221440 has 32 divisors (see below), whose sum is σ = 244374660. Its totient is φ = 40888320.

The previous prime is 102221437. The next prime is 102221447. The reversal of 102221440 is 44122201.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 1098304 = 10056^2 + 1048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102221447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79221 + ... + 80500.

Almost surely, 2^102221440 is an apocalyptic number.

102221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221440 is an abundant number, since it is smaller than the sum of its proper divisors (142153220).

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

102221440 is an equidigital number, since it uses as much as digits as its factorization.

102221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159740 (or 159728 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102221440 is about 10110.4619083403. The cubic root of 102221440 is about 467.5707462497.

Adding to 102221440 its reverse (44122201), we get a palindrome (146343641).

The spelling of 102221440 in words is "one hundred two million, two hundred twenty-one thousand, four hundred forty".