114392100 has 72 divisors (see below), whose sum is σ = 334471648. Its totient is φ = 30182400.

The previous prime is 114392071. The next prime is 114392107. The reversal of 114392100 is 1293411.

It is not an unprimeable number, because it can be changed into a prime (114392107) 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 23 ways as a sum of consecutive naturals, for example, 27135 + ... + 31065.

Almost surely, 2^114392100 is an apocalyptic number.

114392100 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 114392100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167235824).

114392100 is an abundant number, since it is smaller than the sum of its proper divisors (220079548).

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

114392100 is a wasteful number, since it uses less digits than its factorization.

114392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 114392100 is about 10695.4242552598. The cubic root of 114392100 is about 485.4360339877.

The spelling of 114392100 in words is "one hundred fourteen million, three hundred ninety-two thousand, one hundred".