105003646479360 has 3520 divisors, whose sum is σ = 431655429427200. Its totient is φ = 24379962163200.

The previous prime is 105003646479313. The next prime is 105003646479419. The reversal of 105003646479360 is 63974646300501.

105003646479360 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 36 + 464 + 7 + 93 + 60 = 666.

It is a super-2 number, since 2×105003646479360² (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 = 105003646479297 and 105003646479306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1721371253730 + ... + 1721371253790.

It is an arithmetic number, because the mean of its divisors is an integer number (122629383360).

Almost surely, 2^{105003646479360} is an apocalyptic number.

105003646479360 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 105003646479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215827714713600).

105003646479360 is an abundant number, since it is smaller than the sum of its proper divisors (326651782947840).

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

105003646479360 is an frugal number, since it uses more digits than its factorization.

105003646479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 105003646479360 in words is "one hundred five trillion, three billion, six hundred forty-six million, four hundred seventy-nine thousand, three hundred sixty".