105673105476 has 81 divisors (see below), whose sum is σ = 283844306109. Its totient is φ = 33141944448.

The previous prime is 105673105469. The next prime is 105673105507. The reversal of 105673105476 is 674501376501.

The square root of 105673105476 is 325074.

It is a perfect power (a square), and thus also a powerful number.

105673105476 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 73 + 105 + 476 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82271448900 + 23401656576 = 286830^2 + 152976^2 .

It is a super-2 number, since 2×105673105476² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33155955 + ... + 33159141.

Almost surely, 2^105673105476 is an apocalyptic number.

105673105476 is the 325074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105673105476

105673105476 is an abundant number, since it is smaller than the sum of its proper divisors (178171200633).

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

105673105476 is an equidigital number, since it uses as much as digits as its factorization.

105673105476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 105673105476 in words is "one hundred five billion, six hundred seventy-three million, one hundred five thousand, four hundred seventy-six".