100123434405 has 12 divisors (see below), whose sum is σ = 173547286380. Its totient is φ = 53399164992.

The previous prime is 100123434403. The next prime is 100123434419. The reversal of 100123434405 is 504434321001.

It is a happy number.

100123434405 is a `hidden beast` number, since 100 + 123 + 4 + 34 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46544610564 + 53578823841 = 215742^2 + 231471^2 .

It is not a de Polignac number, because 100123434405 - 2¹ = 100123434403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1112482560 + ... + 1112482649.

It is an arithmetic number, because the mean of its divisors is an integer number (14462273865).

Almost surely, 2^100123434405 is an apocalyptic number.

100123434405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100123434405 is a deficient number, since it is larger than the sum of its proper divisors (73423851975).

100123434405 is a wasteful number, since it uses less digits than its factorization.

100123434405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224965220 (or 2224965217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100123434405 its reverse (504434321001), we get a palindrome (604557755406).

The spelling of 100123434405 in words is "one hundred billion, one hundred twenty-three million, four hundred thirty-four thousand, four hundred five".