10434224010 has 64 divisors (see below), whose sum is σ = 28701792000. Its totient is φ = 2378115072.

The previous prime is 10434223997. The next prime is 10434224057. The reversal of 10434224010 is 1042243401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106 + ... + 144474.

It is an arithmetic number, because the mean of its divisors is an integer number (448465500).

Almost surely, 2^10434224010 is an apocalyptic number.

10434224010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434224010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350896000).

10434224010 is an abundant number, since it is smaller than the sum of its proper divisors (18267567990).

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

10434224010 is a wasteful number, since it uses less digits than its factorization.

10434224010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142735.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10434224010 its reverse (1042243401), we get a palindrome (11476467411).

The spelling of 10434224010 in words is "ten billion, four hundred thirty-four million, two hundred twenty-four thousand, ten".