114102000 has 160 divisors (see below), whose sum is σ = 408932160. Its totient is φ = 30412800.

The previous prime is 114101987. The next prime is 114102013. The reversal of 114102000 is 201411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114101987) and next prime (114102013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52944 + ... + 55056.

It is an arithmetic number, because the mean of its divisors is an integer number (2555826).

Almost surely, 2^114102000 is an apocalyptic number.

114102000 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 114102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204466080).

114102000 is an abundant number, since it is smaller than the sum of its proper divisors (294830160).

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

114102000 is a wasteful number, since it uses less digits than its factorization.

114102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 114102000 is about 10681.8537717009. The cubic root of 114102000 is about 485.0253290346.

Adding to 114102000 its reverse (201411), we get a palindrome (114303411).

The spelling of 114102000 in words is "one hundred fourteen million, one hundred two thousand".