114101625 has 64 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 54648000.

The previous prime is 114101591. The next prime is 114101641. The reversal of 114101625 is 526101411.

It is not a de Polignac number, because 114101625 - 2¹⁴ = 114085241 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, 573276 + ... + 573474.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^114101625 is an apocalyptic number.

114101625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114101625 is a deficient number, since it is larger than the sum of its proper divisors (95562375).

114101625 is a wasteful number, since it uses less digits than its factorization.

114101625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 114101625 is about 10681.8362185534. The cubic root of 114101625 is about 485.0247976835.

The spelling of 114101625 in words is "one hundred fourteen million, one hundred one thousand, six hundred twenty-five".