10434403100 has 144 divisors (see below), whose sum is σ = 26090830080. Its totient is φ = 3584908800.

The previous prime is 10434403097. The next prime is 10434403139. The reversal of 10434403100 is 130443401.

It is a happy number.

It is a super-2 number, since 2×10434403100² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2097416 + ... + 2102384.

It is an arithmetic number, because the mean of its divisors is an integer number (181186320).

Almost surely, 2^10434403100 is an apocalyptic number.

10434403100 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 10434403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045415040).

10434403100 is an abundant number, since it is smaller than the sum of its proper divisors (15656426980).

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

10434403100 is a wasteful number, since it uses less digits than its factorization.

10434403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5093 counting only the distinct ones).

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

Adding to 10434403100 its reverse (130443401), we get a palindrome (10564846501).

The spelling of 10434403100 in words is "ten billion, four hundred thirty-four million, four hundred three thousand, one hundred".