105504042435352 has 64 divisors (see below), whose sum is σ = 235868965079040. Its totient is φ = 43679437939200.

The previous prime is 105504042435343. The next prime is 105504042435401. The reversal of 105504042435352 is 253534240405501.

It is a super-2 number, since 2×105504042435352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105504042435299 and 105504042435308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137438988 + ... + 1137531739.

It is an arithmetic number, because the mean of its divisors is an integer number (3685452579360).

Almost surely, 2^{105504042435352} is an apocalyptic number.

It is an amenable number.

105504042435352 is an abundant number, since it is smaller than the sum of its proper divisors (130364922643688).

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

105504042435352 is a wasteful number, since it uses less digits than its factorization.

105504042435352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274970792 (or 2274970788 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 43.

The spelling of 105504042435352 in words is "one hundred five trillion, five hundred four billion, forty-two million, four hundred thirty-five thousand, three hundred fifty-two".