10667378089 has 9 divisors (see below), whose sum is σ = 10745929047. Its totient is φ = 10589399424.

The previous prime is 10667378083. The next prime is 10667378119. The reversal of 10667378089 is 98087376601.

The square root of 10667378089 is 103283.

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., 10593555625 + 73822464 = 102925^2 + 8592^2 .

It is not a de Polignac number, because 10667378089 - 2⁷ = 10667377961 is a prime.

It is a super-2 number, since 2×10667378089² (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 (10667378083) 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, 18487369 + ... + 18487945.

Almost surely, 2^10667378089 is an apocalyptic number.

10667378089 is the 103283-rd square number.

10667378089 is the 51642-nd centered octagonal number.

It is an amenable number.

10667378089 is a deficient number, since it is larger than the sum of its proper divisors (78550958).

10667378089 is an frugal number, since it uses more digits than its factorization.

10667378089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 10667378089 in words is "ten billion, six hundred sixty-seven million, three hundred seventy-eight thousand, eighty-nine".