114066600 has 192 divisors, whose sum is σ = 383279040. Its totient is φ = 27955200.

The previous prime is 114066593. The next prime is 114066619. The reversal of 114066600 is 6660411.

It is a super-2 number, since 2×114066600² = 26022378471120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540495 + ... + 540705.

It is an arithmetic number, because the mean of its divisors is an integer number (1996245).

Almost surely, 2^114066600 is an apocalyptic number.

114066600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191639520).

114066600 is an abundant number, since it is smaller than the sum of its proper divisors (269212440).

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

114066600 is a wasteful number, since it uses less digits than its factorization.

114066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114066600 is about 10680.1966274034. The cubic root of 114066600 is about 484.9751643498.

The spelling of 114066600 in words is "one hundred fourteen million, sixty-six thousand, six hundred".