103680215654400 has 5040 divisors, whose sum is σ = 495884401867008. Its totient is φ = 20951256268800.

The previous prime is 103680215654299. The next prime is 103680215654471. The reversal of 103680215654400 is 4456512086301.

103680215654400 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 80 + 2 + 1 + 565 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 660383539122 + ... + 660383539278.

Almost surely, 2^{103680215654400} is an apocalyptic number.

103680215654400 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 103680215654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247942200933504).

103680215654400 is an abundant number, since it is smaller than the sum of its proper divisors (392204186212608).

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

103680215654400 is a wasteful number, since it uses less digits than its factorization.

103680215654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 103680215654400 in words is "one hundred three trillion, six hundred eighty billion, two hundred fifteen million, six hundred fifty-four thousand, four hundred".