1105187136 has 224 divisors, whose sum is σ = 3318174720. Its totient is φ = 322560000.

The previous prime is 1105187113. The next prime is 1105187141. The reversal of 1105187136 is 6317815011.

It is a junction number, because it is equal to n+sod(n) for n = 1105187097 and 1105187106.

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, 4403011 + ... + 4403261.

It is an arithmetic number, because the mean of its divisors is an integer number (14813280).

Almost surely, 2^1105187136 is an apocalyptic number.

1105187136 is a gapful number since it is divisible by the number (16) 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 1105187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659087360).

1105187136 is an abundant number, since it is smaller than the sum of its proper divisors (2212987584).

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

1105187136 is a wasteful number, since it uses less digits than its factorization.

1105187136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 1105187136 is about 33244.3549493745. The cubic root of 1105187136 is about 1033.9001708160.

The spelling of 1105187136 in words is "one billion, one hundred five million, one hundred eighty-seven thousand, one hundred thirty-six".