10667378090 has 32 divisors (see below), whose sum is σ = 19448798544. Its totient is φ = 4212172800.

The previous prime is 10667378083. The next prime is 10667378119. The reversal of 10667378090 is 9087376601.

It is a Cunningham number, because it is equal to 103283²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 4790162521 + 5877215569 = 69211^2 + 76663^2 .

It is a super-2 number, since 2×10667378090² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 371240 + ... + 398940.

Almost surely, 2^10667378090 is an apocalyptic number.

10667378090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10667378090 is a deficient number, since it is larger than the sum of its proper divisors (8781420454).

10667378090 is a wasteful number, since it uses less digits than its factorization.

10667378090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28202.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 10667378090 in words is "ten billion, six hundred sixty-seven million, three hundred seventy-eight thousand, ninety".