100434004011232 has 48 divisors (see below), whose sum is σ = 209361565147392. Its totient is φ = 47262840401920.

The previous prime is 100434004011221. The next prime is 100434004011251. The reversal of 100434004011232 is 232110400434001.

It is a junction number, because it is equal to n+sod(n) for n = 100434004011197 and 100434004011206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221329857 + ... + 221783167.

It is an arithmetic number, because the mean of its divisors is an integer number (4361699273904).

Almost surely, 2^{100434004011232} is an apocalyptic number.

It is an amenable number.

100434004011232 is an abundant number, since it is smaller than the sum of its proper divisors (108927561136160).

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

100434004011232 is a wasteful number, since it uses less digits than its factorization.

100434004011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860611 (or 860603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100434004011232 its reverse (232110400434001), we get a palindrome (332544404445233).

The spelling of 100434004011232 in words is "one hundred trillion, four hundred thirty-four billion, four million, eleven thousand, two hundred thirty-two".