114214100 has 216 divisors, whose sum is σ = 340790688. Its totient is φ = 32659200.

The previous prime is 114214097. The next prime is 114214103. The reversal of 114214100 is 1412411.

It is an interprime number because it is at equal distance from previous prime (114214097) and next prime (114214103).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114214103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700619 + ... + 700781.

Almost surely, 2^114214100 is an apocalyptic number.

114214100 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 114214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170395344).

114214100 is an abundant number, since it is smaller than the sum of its proper divisors (226576588).

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

114214100 is a wasteful number, since it uses less digits than its factorization.

114214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114214100 is about 10687.0997001057. The cubic root of 114214100 is about 485.1841154518.

Adding to 114214100 its reverse (1412411), we get a palindrome (115626511).

The spelling of 114214100 in words is "one hundred fourteen million, two hundred fourteen thousand, one hundred".