1105817453400 has 768 divisors, whose sum is σ = 4142209881600. Its totient is φ = 241035264000.

The previous prime is 1105817453387. The next prime is 1105817453401. The reversal of 1105817453400 is 43547185011.

It is a super-2 number, since 2×1105817453400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105817453401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190228894 + ... + 190234706.

It is an arithmetic number, because the mean of its divisors is an integer number (5393502450).

Almost surely, 2^{1105817453400} is an apocalyptic number.

1105817453400 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 1105817453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071104940800).

1105817453400 is an abundant number, since it is smaller than the sum of its proper divisors (3036392428200).

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

1105817453400 is a wasteful number, since it uses less digits than its factorization.

1105817453400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 1105817453400 in words is "one trillion, one hundred five billion, eight hundred seventeen million, four hundred fifty-three thousand, four hundred".