100434014112 has 48 divisors (see below), whose sum is σ = 267574218912. Its totient is φ = 32978330880.

The previous prime is 100434014089. The next prime is 100434014119. The reversal of 100434014112 is 211410434001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (100434014119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7800939 + ... + 7813802.

It is an arithmetic number, because the mean of its divisors is an integer number (5574462894).

Almost surely, 2^100434014112 is an apocalyptic number.

100434014112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100434014112 is an abundant number, since it is smaller than the sum of its proper divisors (167140204800).

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

100434014112 is a wasteful number, since it uses less digits than its factorization.

100434014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614821 (or 15614813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100434014112 its reverse (211410434001), we get a palindrome (311844448113).

The spelling of 100434014112 in words is "one hundred billion, four hundred thirty-four million, fourteen thousand, one hundred twelve".