1105816732020 has 1344 divisors, whose sum is σ = 4950867350016. Its totient is φ = 199583170560.

The previous prime is 1105816731953. The next prime is 1105816732051. The reversal of 1105816732020 is 202376185011.

1105816732020 is a `hidden beast` number, since 1 + 1 + 0 + 581 + 6 + 73 + 2 + 0 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 248105632 + ... + 248110088.

It is an arithmetic number, because the mean of its divisors is an integer number (3683681064).

Almost surely, 2^{1105816732020} is an apocalyptic number.

1105816732020 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 1105816732020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475433675008).

1105816732020 is an abundant number, since it is smaller than the sum of its proper divisors (3845050617996).

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

1105816732020 is a wasteful number, since it uses less digits than its factorization.

1105816732020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1105816732020 in words is "one trillion, one hundred five billion, eight hundred sixteen million, seven hundred thirty-two thousand, twenty".