104137850880 has 1280 divisors, whose sum is σ = 456752736000. Its totient is φ = 22167945216.

The previous prime is 104137850867. The next prime is 104137850893. The reversal of 104137850880 is 88058731401.

It is a happy number.

104137850880 is a `hidden beast` number, since 1 + 0 + 4 + 137 + 8 + 508 + 8 + 0 = 666.

104137850880 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 (104137850867) and next prime (104137850893).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1765048291 + ... + 1765048349.

It is an arithmetic number, because the mean of its divisors is an integer number (356838075).

Almost surely, 2^104137850880 is an apocalyptic number.

104137850880 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 104137850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228376368000).

104137850880 is an abundant number, since it is smaller than the sum of its proper divisors (352614885120).

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

104137850880 is an frugal number, since it uses more digits than its factorization.

104137850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 104137850880 in words is "one hundred four billion, one hundred thirty-seven million, eight hundred fifty thousand, eight hundred eighty".