103980966206400 has 504 divisors, whose sum is σ = 380705999216400. Its totient is φ = 26901622702080.

The previous prime is 103980966206399. The next prime is 103980966206459. The reversal of 103980966206400 is 4602669089301.

103980966206400 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 8 + 0 + 9 + 6 + 620 + 6 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91697284 + ... + 92824316.

Almost surely, 2^{103980966206400} is an apocalyptic number.

103980966206400 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 103980966206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190352999608200).

103980966206400 is an abundant number, since it is smaller than the sum of its proper divisors (276725033010000).

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

103980966206400 is a wasteful number, since it uses less digits than its factorization.

103980966206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127253 (or 1127235 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 103980966206400 in words is "one hundred three trillion, nine hundred eighty billion, nine hundred sixty-six million, two hundred six thousand, four hundred".