104135104032 has 48 divisors (see below), whose sum is σ = 273371257152. Its totient is φ = 34709592320.

The previous prime is 104135103973. The next prime is 104135104049. The reversal of 104135104032 is 230401531401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104135103993 and 104135104011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3040282 + ... + 3074342.

It is an arithmetic number, because the mean of its divisors is an integer number (5695234524).

Almost surely, 2^104135104032 is an apocalyptic number.

104135104032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104135104032 is an abundant number, since it is smaller than the sum of its proper divisors (169236153120).

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

104135104032 is a wasteful number, since it uses less digits than its factorization.

104135104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65921 (or 65913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 104135104032 its reverse (230401531401), we get a palindrome (334536635433).

The spelling of 104135104032 in words is "one hundred four billion, one hundred thirty-five million, one hundred four thousand, thirty-two".