10359779089 has 27 divisors (see below), whose sum is σ = 12042793161. Its totient is φ = 8903976840.

The previous prime is 10359779083. The next prime is 10359779149. The reversal of 10359779089 is 98097795301.

It is a happy number.

The square root of 10359779089 is 101783.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10359779089 - 2³ = 10359779081 is a prime.

It is a super-3 number, since 3×10359779089³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10359779081) 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 26 ways as a sum of consecutive naturals, for example, 21272404 + ... + 21272890.

Almost surely, 2^10359779089 is an apocalyptic number.

10359779089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10359779089 is the 101783-rd square number.

10359779089 is the 50892-nd centered octagonal number.

It is an amenable number.

10359779089 is a deficient number, since it is larger than the sum of its proper divisors (1683014072).

10359779089 is an frugal number, since it uses more digits than its factorization.

10359779089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 58.

The spelling of 10359779089 in words is "ten billion, three hundred fifty-nine million, seven hundred seventy-nine thousand, eighty-nine".