114801300 has 90 divisors (see below), whose sum is σ = 372166718. Its totient is φ = 30611520.

The previous prime is 114801293. The next prime is 114801301. The reversal of 114801300 is 3108411.

It can be written as a sum of positive squares in 3 ways, for example, as 22410756 + 92390544 = 4734^2 + 9612^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114801301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014 + ... + 15186.

Almost surely, 2^114801300 is an apocalyptic number.

114801300 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 114801300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186083359).

114801300 is an abundant number, since it is smaller than the sum of its proper divisors (257365418).

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

114801300 is a wasteful number, since it uses less digits than its factorization.

114801300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14199 (or 14183 counting only the distinct ones).

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

The square root of 114801300 is about 10714.5368541995. The cubic root of 114801300 is about 486.0141742551.

Adding to 114801300 its reverse (3108411), we get a palindrome (117909711).

The spelling of 114801300 in words is "one hundred fourteen million, eight hundred one thousand, three hundred".