1171050117105 has 64 divisors (see below), whose sum is σ = 2109209803776. Its totient is φ = 549817632000.

The previous prime is 1171050117047. The next prime is 1171050117113. The reversal of 1171050117105 is 5017110501711.

It is not a de Polignac number, because 1171050117105 - 2¹³ = 1171050108913 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833610 + ... + 1742700.

It is an arithmetic number, because the mean of its divisors is an integer number (32956403184).

Almost surely, 2^{1171050117105} is an apocalyptic number.

1171050117105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1171050117105 is a deficient number, since it is larger than the sum of its proper divisors (938159686671).

1171050117105 is a wasteful number, since it uses less digits than its factorization.

1171050117105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909358.

The product of its (nonzero) digits is 1225, while the sum is 30.

Adding to 1171050117105 its reverse (5017110501711), we get a palindrome (6188160618816).

The spelling of 1171050117105 in words is "one trillion, one hundred seventy-one billion, fifty million, one hundred seventeen thousand, one hundred five".