1011117705 has 24 divisors (see below), whose sum is σ = 1751810688. Its totient is φ = 497779776.

The previous prime is 1011117689. The next prime is 1011117727. The reversal of 1011117705 is 5077111101.

It is not a de Polignac number, because 1011117705 - 2⁴ = 1011117689 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196897 + ... + 201966.

It is an arithmetic number, because the mean of its divisors is an integer number (72992112).

Almost surely, 2^1011117705 is an apocalyptic number.

1011117705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1011117705 is a deficient number, since it is larger than the sum of its proper divisors (740692983).

1011117705 is a wasteful number, since it uses less digits than its factorization.

1011117705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398897 (or 398884 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 24.

The square root of 1011117705 is about 31798.0770645019. The cubic root of 1011117705 is about 1003.6922521622.

Adding to 1011117705 its reverse (5077111101), we get a palindrome (6088228806).

The spelling of 1011117705 in words is "one billion, eleven million, one hundred seventeen thousand, seven hundred five".