104964824134009 has 96 divisors (see below), whose sum is σ = 131732708186112. Its totient is φ = 83222173440000.

The previous prime is 104964824134007. The next prime is 104964824134061. The reversal of 104964824134009 is 900431428469401.

It is not a de Polignac number, because 104964824134009 - 2¹ = 104964824134007 is a prime.

It is a super-2 number, since 2×104964824134009² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104964824134007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2821540609 + ... + 2821577809.

It is an arithmetic number, because the mean of its divisors is an integer number (1372215710272).

Almost surely, 2^{104964824134009} is an apocalyptic number.

It is an amenable number.

104964824134009 is a deficient number, since it is larger than the sum of its proper divisors (26767884052103).

104964824134009 is a wasteful number, since it uses less digits than its factorization.

104964824134009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38167 (or 38160 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 104964824134009 in words is "one hundred four trillion, nine hundred sixty-four billion, eight hundred twenty-four million, one hundred thirty-four thousand, nine".