102214440 has 256 divisors, whose sum is σ = 364953600. Its totient is φ = 25401600.

The previous prime is 102214439. The next prime is 102214451. The reversal of 102214440 is 44412201.

102214440 is a `hidden beast` number, since 1 + 0 + 221 + 4 + 440 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 1439605 + ... + 1439675.

It is an arithmetic number, because the mean of its divisors is an integer number (1425600).

Almost surely, 2^102214440 is an apocalyptic number.

102214440 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 102214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

102214440 is an abundant number, since it is smaller than the sum of its proper divisors (262739160).

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

102214440 is a wasteful number, since it uses less digits than its factorization.

102214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

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

The square root of 102214440 is about 10110.1157263406. The cubic root of 102214440 is about 467.5600731139.

Adding to 102214440 its reverse (44412201), we get a palindrome (146626641).

The spelling of 102214440 in words is "one hundred two million, two hundred fourteen thousand, four hundred forty".