114501006 has 32 divisors (see below), whose sum is σ = 254858400. Its totient is φ = 38105280.

The previous prime is 114500993. The next prime is 114501007. The reversal of 114501006 is 600105411.

It is a super-2 number, since 2×114501006² = 26220960750024072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 114501006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114501007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42376 + ... + 44996.

It is an arithmetic number, because the mean of its divisors is an integer number (7964325).

Almost surely, 2^114501006 is an apocalyptic number.

114501006 is an abundant number, since it is smaller than the sum of its proper divisors (140357394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114501006 is a wasteful number, since it uses less digits than its factorization.

114501006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114501006 is about 10700.5142867060. The cubic root of 114501006 is about 485.5900368383.

Adding to 114501006 its reverse (600105411), we get a palindrome (714606417).

The spelling of 114501006 in words is "one hundred fourteen million, five hundred one thousand, six".