1135105500 has 96 divisors (see below), whose sum is σ = 3386230848. Its totient is φ = 295296000.

The previous prime is 1135105493. The next prime is 1135105511. The reversal of 1135105500 is 55015311.

It is a super-2 number, since 2×1135105500² = 2576928992260500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52272 + ... + 70728.

It is an arithmetic number, because the mean of its divisors is an integer number (35273238).

Almost surely, 2^1135105500 is an apocalyptic number.

1135105500 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 1135105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693115424).

1135105500 is an abundant number, since it is smaller than the sum of its proper divisors (2251125348).

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

1135105500 is a wasteful number, since it uses less digits than its factorization.

1135105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18520 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 1135105500 is about 33691.3267770802. The cubic root of 1135105500 is about 1043.1467500275.

The spelling of 1135105500 in words is "one billion, one hundred thirty-five million, one hundred five thousand, five hundred".