1155105000 has 480 divisors, whose sum is σ = 4727236800. Its totient is φ = 248832000.

The previous prime is 1155104987. The next prime is 1155105037. The reversal of 1155105000 is 5015511.

1155105000 is a `hidden beast` number, since 1 + 155 + 10 + 500 + 0 = 666.

It is a super-3 number, since 3×1155105000³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5984904 + ... + 5985096.

It is an arithmetic number, because the mean of its divisors is an integer number (9848410).

Almost surely, 2^1155105000 is an apocalyptic number.

1155105000 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 1155105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363618400).

1155105000 is an abundant number, since it is smaller than the sum of its proper divisors (3572131800).

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

1155105000 is a wasteful number, since it uses less digits than its factorization.

1155105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

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

The square root of 1155105000 is about 33986.8356867773. The cubic root of 1155105000 is about 1049.2375417125.

The spelling of 1155105000 in words is "one billion, one hundred fifty-five million, one hundred five thousand".