114735102705 has 48 divisors (see below), whose sum is σ = 201622861440. Its totient is φ = 60348893184.

The previous prime is 114735102697. The next prime is 114735102707. The reversal of 114735102705 is 507201537411.

114735102705 is a `hidden beast` number, since 1 + 1 + 4 + 73 + 510 + 2 + 70 + 5 = 666.

It is not a de Polignac number, because 114735102705 - 2³ = 114735102697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114735102705.

It is not an unprimeable number, because it can be changed into a prime (114735102707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2128476 + ... + 2181714.

It is an arithmetic number, because the mean of its divisors is an integer number (4200476280).

Almost surely, 2^114735102705 is an apocalyptic number.

114735102705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114735102705 is a deficient number, since it is larger than the sum of its proper divisors (86887758735).

114735102705 is a wasteful number, since it uses less digits than its factorization.

114735102705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53910 (or 53907 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 114735102705 in words is "one hundred fourteen billion, seven hundred thirty-five million, one hundred two thousand, seven hundred five".