103883208912000 has 1920 divisors, whose sum is σ = 454520157062400. Its totient is φ = 23443035033600.

The previous prime is 103883208911987. The next prime is 103883208912011. The reversal of 103883208912000 is 219802388301.

It is a happy number.

103883208912000 is a `hidden beast` number, since 1 + 0 + 38 + 8 + 320 + 8 + 91 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5016805647 + ... + 5016826353.

It is an arithmetic number, because the mean of its divisors is an integer number (236729248470).

Almost surely, 2^{103883208912000} is an apocalyptic number.

103883208912000 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 103883208912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227260078531200).

103883208912000 is an abundant number, since it is smaller than the sum of its proper divisors (350636948150400).

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

103883208912000 is an equidigital number, since it uses as much as digits as its factorization.

103883208912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20841 (or 20803 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 103883208912000 in words is "one hundred three trillion, eight hundred eighty-three billion, two hundred eight million, nine hundred twelve thousand".