100434912 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 28753920.

The previous prime is 100434907. The next prime is 100434959. The reversal of 100434912 is 219434001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1271289 + ... + 1271367.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^100434912 is an apocalyptic number.

100434912 is a gapful number since it is divisible by the number (12) 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 100434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

100434912 is an abundant number, since it is smaller than the sum of its proper divisors (204384288).

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

100434912 is a wasteful number, since it uses less digits than its factorization.

100434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100434912 is about 10021.7220077190. The cubic root of 100434912 is about 464.8308044398.

Adding to 100434912 its reverse (219434001), we get a palindrome (319868913).

The spelling of 100434912 in words is "one hundred million, four hundred thirty-four thousand, nine hundred twelve".