5105806146 has 144 divisors (see below), whose sum is σ = 13591259136. Its totient is φ = 1352236032.

The previous prime is 5105806127. The next prime is 5105806177. The reversal of 5105806146 is 6416085015.

5105806146 is a `hidden beast` number, since 5 + 10 + 580 + 61 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5105806146.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 37268590 + ... + 37268726.

It is an arithmetic number, because the mean of its divisors is an integer number (94383744).

Almost surely, 2^5105806146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105806146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795629568).

5105806146 is an abundant number, since it is smaller than the sum of its proper divisors (8485452990).

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

5105806146 is a wasteful number, since it uses less digits than its factorization.

5105806146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5105806146 is about 71454.9238751256. The cubic root of 5105806146 is about 1721.9535836331.

The spelling of 5105806146 in words is "five billion, one hundred five million, eight hundred six thousand, one hundred forty-six".