103224663360 has 1120 divisors, whose sum is σ = 457262910720. Its totient is φ = 21522972672.

The previous prime is 103224663329. The next prime is 103224663371. The reversal of 103224663360 is 63366422301.

103224663360 is a `hidden beast` number, since 10 + 3 + 2 + 2 + 4 + 6 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×103224663360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252382836 + ... + 252383244.

It is an arithmetic number, because the mean of its divisors is an integer number (408270456).

Almost surely, 2^103224663360 is an apocalyptic number.

103224663360 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 103224663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228631455360).

103224663360 is an abundant number, since it is smaller than the sum of its proper divisors (354038247360).

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

103224663360 is a wasteful number, since it uses less digits than its factorization.

103224663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 103224663360 in words is "one hundred three billion, two hundred twenty-four million, six hundred sixty-three thousand, three hundred sixty".