4116105252 has 108 divisors (see below), whose sum is σ = 12191109840. Its totient is φ = 1167499872.

The previous prime is 4116105247. The next prime is 4116105283. The reversal of 4116105252 is 2525016114.

4116105252 is a `hidden beast` number, since 41 + 1 + 610 + 5 + 2 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236803 + ... + 253589.

Almost surely, 2^4116105252 is an apocalyptic number.

4116105252 is a gapful number since it is divisible by the number (42) 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 4116105252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095554920).

4116105252 is an abundant number, since it is smaller than the sum of its proper divisors (8075004588).

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

4116105252 is a wasteful number, since it uses less digits than its factorization.

4116105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16938 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4116105252 is about 64156.8800051873. The cubic root of 4116105252 is about 1602.6135997149.

The spelling of 4116105252 in words is "four billion, one hundred sixteen million, one hundred five thousand, two hundred fifty-two".