103321668240 has 960 divisors, whose sum is σ = 428764557312. Its totient is φ = 21797683200.

The previous prime is 103321668223. The next prime is 103321668251. The reversal of 103321668240 is 42866123301.

103321668240 is a `hidden beast` number, since 10 + 332 + 16 + 68 + 240 = 666.

103321668240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 103321668195 and 103321668204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 352633534 + ... + 352633826.

Almost surely, 2^103321668240 is an apocalyptic number.

103321668240 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 103321668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214382278656).

103321668240 is an abundant number, since it is smaller than the sum of its proper divisors (325442889072).

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

103321668240 is a wasteful number, since it uses less digits than its factorization.

103321668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 103321668240 in words is "one hundred three billion, three hundred twenty-one million, six hundred sixty-eight thousand, two hundred forty".