1117135110 has 128 divisors (see below), whose sum is σ = 3494098944. Its totient is φ = 221829120.

The previous prime is 1117135091. The next prime is 1117135111. The reversal of 1117135110 is 115317111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117135111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34375 + ... + 58445.

It is an arithmetic number, because the mean of its divisors is an integer number (27297648).

Almost surely, 2^1117135110 is an apocalyptic number.

1117135110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117135110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747049472).

1117135110 is an abundant number, since it is smaller than the sum of its proper divisors (2376963834).

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

1117135110 is a wasteful number, since it uses less digits than its factorization.

1117135110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24118.

The product of its (nonzero) digits is 105, while the sum is 21.

The square root of 1117135110 is about 33423.5711736493. The cubic root of 1117135110 is about 1037.6125926096.

The spelling of 1117135110 in words is "one billion, one hundred seventeen million, one hundred thirty-five thousand, one hundred ten".