8057441106 has 96 divisors (see below), whose sum is σ = 20799192960. Its totient is φ = 2222035200.

The previous prime is 8057441101. The next prime is 8057441111. The reversal of 8057441106 is 6011447508.

It is a happy number.

8057441106 is a `hidden beast` number, since 80 + 574 + 4 + 1 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8057441101) and next prime (8057441111).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8057441101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160710 + ... + 204798.

It is an arithmetic number, because the mean of its divisors is an integer number (216658260).

Almost surely, 2^8057441106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8057441106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399596480).

8057441106 is an abundant number, since it is smaller than the sum of its proper divisors (12741751854).

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

8057441106 is a wasteful number, since it uses less digits than its factorization.

8057441106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44192 (or 44189 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8057441106 is about 89763.2503087984. The cubic root of 8057441106 is about 2004.7753477854.

The spelling of 8057441106 in words is "eight billion, fifty-seven million, four hundred forty-one thousand, one hundred six".