114008100 has 72 divisors (see below), whose sum is σ = 338811648. Its totient is φ = 29577600.

The previous prime is 114008087. The next prime is 114008101. The reversal of 114008100 is 1800411.

It is a super-2 number, since 2×114008100² = 25995693731220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114008100.

It is not an unprimeable number, because it can be changed into a prime (114008101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5965 + ... + 16235.

Almost surely, 2^114008100 is an apocalyptic number.

114008100 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 114008100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169405824).

114008100 is an abundant number, since it is smaller than the sum of its proper divisors (224803548).

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

114008100 is a wasteful number, since it uses less digits than its factorization.

114008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 114008100 is about 10677.4575625474. The cubic root of 114008100 is about 484.8922423300.

Adding to 114008100 its reverse (1800411), we get a palindrome (115808511).

The spelling of 114008100 in words is "one hundred fourteen million, eight thousand, one hundred".