114905205 has 24 divisors (see below), whose sum is σ = 199786392. Its totient is φ = 61092864.

The previous prime is 114905191. The next prime is 114905213. The reversal of 114905205 is 502509411.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 112338801 = 1602^2 + 10599^2 .

It is not a de Polignac number, because 114905205 - 2⁸ = 114904949 is a prime.

It is a super-2 number, since 2×114905205² = 26406412272184050, which contains 22 as substring.

It is a congruent number.

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, 11377 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (8324433).

Almost surely, 2^114905205 is an apocalyptic number.

114905205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114905205 is a deficient number, since it is larger than the sum of its proper divisors (84881187).

114905205 is a wasteful number, since it uses less digits than its factorization.

114905205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 114905205 is about 10719.3845438999. The cubic root of 114905205 is about 486.1607581789.

The spelling of 114905205 in words is "one hundred fourteen million, nine hundred five thousand, two hundred five".