100005434052 has 24 divisors (see below), whose sum is σ = 233380564032. Its totient is φ = 33330208800.

The previous prime is 100005434041. The next prime is 100005434057. The reversal of 100005434052 is 250434500001.

It is a super-2 number, since 2×100005434052² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100005434057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532099 + ... + 695082.

It is an arithmetic number, because the mean of its divisors is an integer number (9724190168).

Almost surely, 2^100005434052 is an apocalyptic number.

100005434052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100005434052 is an abundant number, since it is smaller than the sum of its proper divisors (133375129980).

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

100005434052 is a wasteful number, since it uses less digits than its factorization.

100005434052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233979 (or 1233977 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 100005434052 its reverse (250434500001), we get a palindrome (350439934053).

The spelling of 100005434052 in words is "one hundred billion, five million, four hundred thirty-four thousand, fifty-two".