1103972818320 has 160 divisors (see below), whose sum is σ = 3803183366400. Its totient is φ = 294345501696.

The previous prime is 1103972818217. The next prime is 1103972818321. The reversal of 1103972818320 is 238182793011.

1103972818320 is a `hidden beast` number, since 1 + 10 + 39 + 7 + 281 + 8 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1103972818321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14635261 + ... + 14710499.

It is an arithmetic number, because the mean of its divisors is an integer number (23769896040).

Almost surely, 2^{1103972818320} is an apocalyptic number.

1103972818320 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 1103972818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901591683200).

1103972818320 is an abundant number, since it is smaller than the sum of its proper divisors (2699210548080).

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

1103972818320 is a wasteful number, since it uses less digits than its factorization.

1103972818320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82054 (or 82042 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1103972818320 in words is "one trillion, one hundred three billion, nine hundred seventy-two million, eight hundred eighteen thousand, three hundred twenty".