105062849956 has 27 divisors (see below), whose sum is σ = 188285194881. Its totient is φ = 51296150304.

The previous prime is 105062849917. The next prime is 105062849963. The reversal of 105062849956 is 659948260501.

The square root of 105062849956 is 324134.

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

It can be written as a sum of positive squares in only one way, i.e., 87063944356 + 17998905600 = 295066^2 + 134160^2 .

It is a super-2 number, since 2×105062849956² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105062849897 and 105062849906.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27873640 + ... + 27877408.

Almost surely, 2^105062849956 is an apocalyptic number.

105062849956 is the 324134-th square number.

It is an amenable number.

105062849956 is a deficient number, since it is larger than the sum of its proper divisors (83222344925).

105062849956 is an frugal number, since it uses more digits than its factorization.

105062849956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 105062849956 in words is "one hundred five billion, sixty-two million, eight hundred forty-nine thousand, nine hundred fifty-six".