114446106 has 48 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 36910944.

The previous prime is 114446099. The next prime is 114446147. The reversal of 114446106 is 601644411.

114446106 is a `hidden beast` number, since 1 + 1 + 4 + 44 + 610 + 6 = 666.

It is a super-2 number, since 2×114446106² = 26195822357126472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114446106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158815 + ... + 159533.

It is an arithmetic number, because the mean of its divisors is an integer number (5335200).

Almost surely, 2^114446106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114446106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

114446106 is an abundant number, since it is smaller than the sum of its proper divisors (141643494).

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

114446106 is a wasteful number, since it uses less digits than its factorization.

114446106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114446106 is about 10697.9486818735. The cubic root of 114446106 is about 485.5124155264.

The spelling of 114446106 in words is "one hundred fourteen million, four hundred forty-six thousand, one hundred six".