104311670400 has 1440 divisors, whose sum is σ = 460591591680. Its totient is φ = 23166259200.

The previous prime is 104311670399. The next prime is 104311670471. The reversal of 104311670400 is 4076113401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 546134305 + ... + 546134495.

It is an arithmetic number, because the mean of its divisors is an integer number (319855272).

Almost surely, 2^104311670400 is an apocalyptic number.

104311670400 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 104311670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230295795840).

104311670400 is an abundant number, since it is smaller than the sum of its proper divisors (356279921280).

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

104311670400 is a wasteful number, since it uses less digits than its factorization.

104311670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 104311670400 its reverse (4076113401), we get a palindrome (108387783801).

The spelling of 104311670400 in words is "one hundred four billion, three hundred eleven million, six hundred seventy thousand, four hundred".