103218214440 has 256 divisors, whose sum is σ = 344910078720. Its totient is φ = 24498339840.

The previous prime is 103218214409. The next prime is 103218214487. The reversal of 103218214440 is 44412812301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103218214398 and 103218214407.

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, 40365642 + ... + 40368198.

It is an arithmetic number, because the mean of its divisors is an integer number (1347304995).

Almost surely, 2^103218214440 is an apocalyptic number.

103218214440 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 103218214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172455039360).

103218214440 is an abundant number, since it is smaller than the sum of its proper divisors (241691864280).

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

103218214440 is a wasteful number, since it uses less digits than its factorization.

103218214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 103218214440 in words is "one hundred three billion, two hundred eighteen million, two hundred fourteen thousand, four hundred forty".