1105051005000 has 560 divisors, whose sum is σ = 3936050545020. Its totient is φ = 290573568000.

The previous prime is 1105051004963. The next prime is 1105051005007. The reversal of 1105051005000 is 5001505011.

1105051005000 is a `hidden beast` number, since 1 + 10 + 50 + 5 + 100 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 339681483684 + 765369521316 = 582822^2 + 874854^2 .

It is a super-2 number, since 2×1105051005000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1105051005007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 266082924 + ... + 266087076.

Almost surely, 2^{1105051005000} is an apocalyptic number.

1105051005000 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 1105051005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968025272510).

1105051005000 is an abundant number, since it is smaller than the sum of its proper divisors (2830999540020).

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

1105051005000 is an frugal number, since it uses more digits than its factorization.

1105051005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 1105051005000 in words is "one trillion, one hundred five billion, fifty-one million, five thousand".