10685356900 has 27 divisors (see below), whose sum is σ = 23189467819. Its totient is φ = 4273729280.

The previous prime is 10685356841. The next prime is 10685356909. The reversal of 10685356900 is 965358601.

The square root of 10685356900 is 103370.

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 4627536676 + 6057820224 = 68026^2 + 77832^2 .

It is a super-2 number, since 2×10685356900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10685356909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1028532 + ... + 1038868.

Almost surely, 2^10685356900 is an apocalyptic number.

10685356900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10685356900 is the 103370-th square number.

It is an amenable number.

10685356900 is an abundant number, since it is smaller than the sum of its proper divisors (12504110919).

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

10685356900 is an frugal number, since it uses more digits than its factorization.

10685356900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20688 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 10685356900 in words is "ten billion, six hundred eighty-five million, three hundred fifty-six thousand, nine hundred".