434123123100 has 144 divisors (see below), whose sum is σ = 1344893608800. Its totient is φ = 107732049920.

The previous prime is 434123123089. The next prime is 434123123107. The reversal of 434123123100 is 1321321434.

It is a happy number.

It is a super-2 number, since 2×434123123100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434123123107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24315 + ... + 932114.

It is an arithmetic number, because the mean of its divisors is an integer number (9339538950).

Almost surely, 2^434123123100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434123123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672446804400).

434123123100 is an abundant number, since it is smaller than the sum of its proper divisors (910770485700).

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

434123123100 is a wasteful number, since it uses less digits than its factorization.

434123123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956552 (or 956545 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 434123123100 its reverse (1321321434), we get a palindrome (435444444534).

The spelling of 434123123100 in words is "four hundred thirty-four billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred".