102241440 has 480 divisors, whose sum is σ = 439084800. Its totient is φ = 22353408.

The previous prime is 102241427. The next prime is 102241459. The reversal of 102241440 is 44142201.

102241440 is a `hidden beast` number, since 1 + 0 + 224 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4445269 + ... + 4445291.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^102241440 is an apocalyptic number.

102241440 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 102241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

102241440 is an abundant number, since it is smaller than the sum of its proper divisors (336843360).

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

102241440 is an equidigital number, since it uses as much as digits as its factorization.

102241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102241440 is about 10111.4509344604. The cubic root of 102241440 is about 467.6012382388.

Adding to 102241440 its reverse (44142201), we get a palindrome (146383641).

It can be divided in two parts, 10224 and 1440, that added together give a square (11664 = 108²).

The spelling of 102241440 in words is "one hundred two million, two hundred forty-one thousand, four hundred forty".