114046101 has 36 divisors (see below), whose sum is σ = 180451908. Its totient is φ = 69368832.

The previous prime is 114046087. The next prime is 114046103. The reversal of 114046101 is 101640411.

114046101 is a `hidden beast` number, since 11 + 40 + 4 + 610 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45239076 + 68807025 = 6726^2 + 8295^2 .

It is not a de Polignac number, because 114046101 - 2¹⁴ = 114029717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114046103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147151 + ... + 147923.

It is an arithmetic number, because the mean of its divisors is an integer number (5012553).

Almost surely, 2^114046101 is an apocalyptic number.

It is an amenable number.

114046101 is a deficient number, since it is larger than the sum of its proper divisors (66405807).

114046101 is a wasteful number, since it uses less digits than its factorization.

114046101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 114046101 is about 10679.2369109408. The cubic root of 114046101 is about 484.9461108510.

Adding to 114046101 its reverse (101640411), we get a palindrome (215686512).

The spelling of 114046101 in words is "one hundred fourteen million, forty-six thousand, one hundred one".