114445100 has 144 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 35059200.

The previous prime is 114445091. The next prime is 114445103. The reversal of 114445100 is 1544411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114445103) 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 47 ways as a sum of consecutive naturals, for example, 685217 + ... + 685383.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^114445100 is an apocalyptic number.

114445100 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 114445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

114445100 is an abundant number, since it is smaller than the sum of its proper divisors (200534740).

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

114445100 is a wasteful number, since it uses less digits than its factorization.

114445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 114445100 is about 10697.9016634104. The cubic root of 114445100 is about 485.5109929444.

Adding to 114445100 its reverse (1544411), we get a palindrome (115989511).

The spelling of 114445100 in words is "one hundred fourteen million, four hundred forty-five thousand, one hundred".