100434104300 has 72 divisors (see below), whose sum is σ = 227470565952. Its totient is φ = 38454208000.

The previous prime is 100434104293. The next prime is 100434104363. The reversal of 100434104300 is 3401434001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13796 + ... + 448395.

It is an arithmetic number, because the mean of its divisors is an integer number (3159313416).

Almost surely, 2^100434104300 is an apocalyptic number.

100434104300 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 100434104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113735282976).

100434104300 is an abundant number, since it is smaller than the sum of its proper divisors (127036461652).

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

100434104300 is a wasteful number, since it uses less digits than its factorization.

100434104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462299 (or 462292 counting only the distinct ones).

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

Adding to 100434104300 its reverse (3401434001), we get a palindrome (103835538301).

The spelling of 100434104300 in words is "one hundred billion, four hundred thirty-four million, one hundred four thousand, three hundred".