104767038351360 has 2304 divisors, whose sum is σ = 473452090675200. Its totient is φ = 21764956815360.

The previous prime is 104767038351359. The next prime is 104767038351373. The reversal of 104767038351360 is 63153830767401.

104767038351360 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 67 + 0 + 3 + 8 + 3 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×104767038351360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104767038351297 and 104767038351306.

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, 23183675181 + ... + 23183679699.

It is an arithmetic number, because the mean of its divisors is an integer number (205491358800).

Almost surely, 2^{104767038351360} is an apocalyptic number.

104767038351360 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 104767038351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236726045337600).

104767038351360 is an abundant number, since it is smaller than the sum of its proper divisors (368685052323840).

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

104767038351360 is an frugal number, since it uses more digits than its factorization.

104767038351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 104767038351360 in words is "one hundred four trillion, seven hundred sixty-seven billion, thirty-eight million, three hundred fifty-one thousand, three hundred sixty".