4437812106 has 144 divisors (see below), whose sum is σ = 12090897000. Its totient is φ = 1166006016.

The previous prime is 4437812101. The next prime is 4437812111. The reversal of 4437812106 is 6012187344.

4437812106 is a `hidden beast` number, since 4 + 437 + 8 + 1 + 210 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4437812101) and next prime (4437812111).

It can be written as a sum of positive squares in 4 ways, for example, as 2175382881 + 2262429225 = 46641^2 + 47565^2 .

It is not an unprimeable number, because it can be changed into a prime (4437812101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4001080 + ... + 4002188.

Almost surely, 2^4437812106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4437812106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045448500).

4437812106 is an abundant number, since it is smaller than the sum of its proper divisors (7653084894).

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

4437812106 is a wasteful number, since it uses less digits than its factorization.

4437812106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4437812106 is about 66616.9055570731. The cubic root of 4437812106 is about 1643.3231380785.

The spelling of 4437812106 in words is "four billion, four hundred thirty-seven million, eight hundred twelve thousand, one hundred six".