10434123200 has 84 divisors (see below), whose sum is σ = 26095601352. Its totient is φ = 4105190400.

The previous prime is 10434123199. The next prime is 10434123229. The reversal of 10434123200 is 232143401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 44147 + ... + 151053.

Almost surely, 2^10434123200 is an apocalyptic number.

10434123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047800676).

10434123200 is an abundant number, since it is smaller than the sum of its proper divisors (15661478152).

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

10434123200 is a wasteful number, since it uses less digits than its factorization.

10434123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106990 (or 106975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10434123200 its reverse (232143401), we get a palindrome (10666266601).

The spelling of 10434123200 in words is "ten billion, four hundred thirty-four million, one hundred twenty-three thousand, two hundred".