10785030201 has 45 divisors (see below), whose sum is σ = 17725650943. Its totient is φ = 6530150880.

The previous prime is 10785030167. The next prime is 10785030239. The reversal of 10785030201 is 10203058701.

The square root of 10785030201 is 103851.

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., 9781407801 + 1003622400 = 98901^2 + 31680^2 .

It is not a de Polignac number, because 10785030201 - 2¹¹ = 10785028153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10785030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10280725 + ... + 10281773.

Almost surely, 2^10785030201 is an apocalyptic number.

10785030201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10785030201 is the 103851-st square number.

10785030201 is the 51926-th centered octagonal number.

It is an amenable number.

10785030201 is a deficient number, since it is larger than the sum of its proper divisors (6940620742).

10785030201 is an frugal number, since it uses more digits than its factorization.

10785030201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10785030201 its reverse (10203058701), we get a palindrome (20988088902).

The spelling of 10785030201 in words is "ten billion, seven hundred eighty-five million, thirty thousand, two hundred one".