105174381636 has 135 divisors (see below), whose sum is σ = 282162831951. Its totient is φ = 34161096816.

The previous prime is 105174381551. The next prime is 105174381643. The reversal of 105174381636 is 636183471501.

The square root of 105174381636 is 324306.

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

105174381636 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 7 + 4 + 3 + 8 + 1 + 636 = 666.

It is a super-2 number, since 2×105174381636² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105174381591 and 105174381600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 251012635 + ... + 251013053.

Almost surely, 2^105174381636 is an apocalyptic number.

105174381636 is the 324306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105174381636

105174381636 is an abundant number, since it is smaller than the sum of its proper divisors (176988450315).

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

105174381636 is an frugal number, since it uses more digits than its factorization.

105174381636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105174381636 in words is "one hundred five billion, one hundred seventy-four million, three hundred eighty-one thousand, six hundred thirty-six".