104964310080 has 560 divisors, whose sum is σ = 428566697856. Its totient is φ = 23887872000.

The previous prime is 104964310079. The next prime is 104964310103. The reversal of 104964310080 is 80013469401.

104964310080 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 643 + 1 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×104964310080² (a number of 23 digits) contains 22 as substring.

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

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, 46628955 + ... + 46631205.

Almost surely, 2^104964310080 is an apocalyptic number.

104964310080 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 104964310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214283348928).

104964310080 is an abundant number, since it is smaller than the sum of its proper divisors (323602387776).

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

104964310080 is a wasteful number, since it uses less digits than its factorization.

104964310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 104964310080 its reverse (80013469401), we get a palindrome (184977779481).

The spelling of 104964310080 in words is "one hundred four billion, nine hundred sixty-four million, three hundred ten thousand, eighty".