105204121464652 has 24 divisors (see below), whose sum is σ = 210410728586240. Its totient is φ = 45086947986960.

The previous prime is 105204121464647. The next prime is 105204121464707. The reversal of 105204121464652 is 256464121402501.

It is a super-3 number, since 3×105204121464652³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105204121464599 and 105204121464608.

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, 19776252 + ... + 24525667.

Almost surely, 2^{105204121464652} is an apocalyptic number.

It is an amenable number.

105204121464652 is an abundant number, since it is smaller than the sum of its proper divisors (105206607121588).

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

105204121464652 is a wasteful number, since it uses less digits than its factorization.

105204121464652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44386741 (or 44386739 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 105204121464652 in words is "one hundred five trillion, two hundred four billion, one hundred twenty-one million, four hundred sixty-four thousand, six hundred fifty-two".