104535007644 has 48 divisors (see below), whose sum is σ = 252574358400. Its totient is φ = 33610320576.

The previous prime is 104535007631. The next prime is 104535007657. The reversal of 104535007644 is 446700535401.

It is a happy number.

104535007644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104535007631) and next prime (104535007657).

It is a super-2 number, since 2×104535007644² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207219 + ... + 502005.

It is an arithmetic number, because the mean of its divisors is an integer number (5261965800).

Almost surely, 2^104535007644 is an apocalyptic number.

It is an amenable number.

104535007644 is an abundant number, since it is smaller than the sum of its proper divisors (148039350756).

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

104535007644 is a wasteful number, since it uses less digits than its factorization.

104535007644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295842 (or 295840 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 104535007644 in words is "one hundred four billion, five hundred thirty-five million, seven thousand, six hundred forty-four".