434810106 has 48 divisors (see below), whose sum is σ = 990819648. Its totient is φ = 142884000.

The previous prime is 434810093. The next prime is 434810107. The reversal of 434810106 is 601018434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 434810106.

It is not an unprimeable number, because it can be changed into a prime (434810107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28206 + ... + 40806.

It is an arithmetic number, because the mean of its divisors is an integer number (20642076).

Almost surely, 2^434810106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434810106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495409824).

434810106 is an abundant number, since it is smaller than the sum of its proper divisors (556009542).

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

434810106 is a wasteful number, since it uses less digits than its factorization.

434810106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12689 (or 12677 counting only the distinct ones).

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

The square root of 434810106 is about 20852.1007574777. The cubic root of 434810106 is about 757.5882144105.

The spelling of 434810106 in words is "four hundred thirty-four million, eight hundred ten thousand, one hundred six".