114307116 has 192 divisors, whose sum is σ = 371589120. Its totient is φ = 26403840.

The previous prime is 114307103. The next prime is 114307121. The reversal of 114307116 is 611703411.

It is a super-2 number, since 2×114307116² = 26132233536474912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298261 + ... + 298643.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^114307116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114307116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

114307116 is an abundant number, since it is smaller than the sum of its proper divisors (257282004).

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

114307116 is a wasteful number, since it uses less digits than its factorization.

114307116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114307116 is about 10691.4506031689. The cubic root of 114307116 is about 485.3157910796.

The spelling of 114307116 in words is "one hundred fourteen million, three hundred seven thousand, one hundred sixteen".