10006434 has 24 divisors (see below), whose sum is σ = 21740940. Its totient is φ = 3326208.

The previous prime is 10006429. The next prime is 10006463. The reversal of 10006434 is 43460001.

10006434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9941409 + 65025 = 3153^2 + 255^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9754 + ... + 10730.

Almost surely, 2^10006434 is an apocalyptic number.

10006434 is an abundant number, since it is smaller than the sum of its proper divisors (11734506).

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

10006434 is a wasteful number, since it uses less digits than its factorization.

10006434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10006434 is about 3163.2948013108. The cubic root of 10006434 is about 215.4896645399.

Adding to 10006434 its reverse (43460001), we get a palindrome (53466435).

It can be divided in two parts, 10006 and 434, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10006434 in words is "ten million, six thousand, four hundred thirty-four".