104010842880 has 1728 divisors, whose sum is σ = 466265899008. Its totient is φ = 21678243840.

The previous prime is 104010842869. The next prime is 104010842899. The reversal of 104010842880 is 88248010401.

It is a happy number.

104010842880 is a `hidden beast` number, since 10 + 40 + 108 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1552400607 + ... + 1552400673.

Almost surely, 2^104010842880 is an apocalyptic number.

104010842880 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 104010842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233132949504).

104010842880 is an abundant number, since it is smaller than the sum of its proper divisors (362255056128).

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

104010842880 is an equidigital number, since it uses as much as digits as its factorization.

104010842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 104010842880 in words is "one hundred four billion, ten million, eight hundred forty-two thousand, eight hundred eighty".