104435653360 has 80 divisors (see below), whose sum is σ = 245175682752. Its totient is φ = 41369702400.

The previous prime is 104435653331. The next prime is 104435653367. The reversal of 104435653360 is 63356534401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104435653367) by changing a digit.

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, 3474717 + ... + 3504643.

Almost surely, 2^104435653360 is an apocalyptic number.

104435653360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104435653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122587841376).

104435653360 is an abundant number, since it is smaller than the sum of its proper divisors (140740029392).

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

104435653360 is a wasteful number, since it uses less digits than its factorization.

104435653360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30362 (or 30356 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 104435653360 in words is "one hundred four billion, four hundred thirty-five million, six hundred fifty-three thousand, three hundred sixty".