114101400 has 144 divisors (see below), whose sum is σ = 411569640. Its totient is φ = 26073600.

The previous prime is 114101389. The next prime is 114101419. The reversal of 114101400 is 4101411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27460 + ... + 31340.

Almost surely, 2^114101400 is an apocalyptic number.

114101400 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 114101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205784820).

114101400 is an abundant number, since it is smaller than the sum of its proper divisors (297468240).

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

114101400 is a wasteful number, since it uses less digits than its factorization.

114101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114101400 is about 10681.8256866511. The cubic root of 114101400 is about 485.0244788722.

Adding to 114101400 its reverse (4101411), we get a palindrome (118202811).

The spelling of 114101400 in words is "one hundred fourteen million, one hundred one thousand, four hundred".