104341735680 has 864 divisors, whose sum is σ = 418267938816. Its totient is φ = 21703458816.

The previous prime is 104341735657. The next prime is 104341735697. The reversal of 104341735680 is 86537143401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467900049 + ... + 467900271.

Almost surely, 2^104341735680 is an apocalyptic number.

104341735680 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 104341735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209133969408).

104341735680 is an abundant number, since it is smaller than the sum of its proper divisors (313926203136).

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

104341735680 is a wasteful number, since it uses less digits than its factorization.

104341735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 104341735680 in words is "one hundred four billion, three hundred forty-one million, seven hundred thirty-five thousand, six hundred eighty".