114503105025 has 54 divisors (see below), whose sum is σ = 205744063122. Its totient is φ = 60873523200.

The previous prime is 114503105023. The next prime is 114503105027. The reversal of 114503105025 is 520501305411.

114503105025 is a `hidden beast` number, since 1 + 145 + 0 + 3 + 10 + 502 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (114503105023) and next prime (114503105027).

It can be written as a sum of positive squares in 9 ways, for example, as 38941891569 + 75561213456 = 197337^2 + 274884^2 .

It is not a de Polignac number, because 114503105025 - 2¹ = 114503105023 is a prime.

It is a super-2 number, since 2×114503105025² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114503105025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114503105023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25550785 + ... + 25555265.

It is an arithmetic number, because the mean of its divisors is an integer number (3810075243).

Almost surely, 2^114503105025 is an apocalyptic number.

114503105025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114503105025 is a deficient number, since it is larger than the sum of its proper divisors (91240958097).

114503105025 is an equidigital number, since it uses as much as digits as its factorization.

114503105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 114503105025 in words is "one hundred fourteen billion, five hundred three million, one hundred five thousand, twenty-five".