10786035324100 has 27 divisors (see below), whose sum is σ = 23405767920871. Its totient is φ = 4314400992800.

The previous prime is 10786035324089. The next prime is 10786035324131. The reversal of 10786035324100 is 142353068701.

The square root of 10786035324100 is 3284210.

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 58890670276 + 10727144653824 = 242674^2 + 3275232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32677890 + ... + 33006310.

Almost surely, 2^{10786035324100} is an apocalyptic number.

10786035324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10786035324100 is the 3284210-th square number.

It is an amenable number.

10786035324100 is an abundant number, since it is smaller than the sum of its proper divisors (12619732596771).

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

10786035324100 is an frugal number, since it uses more digits than its factorization.

10786035324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656856 (or 328428 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10786035324100 in words is "ten trillion, seven hundred eighty-six billion, thirty-five million, three hundred twenty-four thousand, one hundred".