105861732496 has 45 divisors (see below), whose sum is σ = 222133729611. Its totient is φ = 48851452416.

The previous prime is 105861732467. The next prime is 105861732521. The reversal of 105861732496 is 694237168501.

The square root of 105861732496 is 325364.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8866858896 + 96994873600 = 94164^2 + 311440^2 .

It is a super-2 number, since 2×105861732496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 16915800 + ... + 16922056.

It is a 1-persistent number, because it is pandigital, but 2⋅105861732496 = 211723464992 is not.

Almost surely, 2^105861732496 is an apocalyptic number.

105861732496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105861732496 is the 325364-th square number.

It is an amenable number.

105861732496 is an abundant number, since it is smaller than the sum of its proper divisors (116271997115).

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

105861732496 is an frugal number, since it uses more digits than its factorization.

105861732496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12548 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 105861732496 in words is "one hundred five billion, eight hundred sixty-one million, seven hundred thirty-two thousand, four hundred ninety-six".