10093618089 has 35 divisors (see below), whose sum is σ = 15385729265. Its totient is φ = 6618765960.

The previous prime is 10093618081. The next prime is 10093618091. The reversal of 10093618089 is 98081639001.

The square root of 10093618089 is 100467.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8823408489 + 1270209600 = 93933^2 + 35640^2 .

It is not a de Polignac number, because 10093618089 - 2³ = 10093618081 is a prime.

It is a super-2 number, since 2×10093618089² (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 (10093618081) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 165469119 + ... + 165469179.

Almost surely, 2^10093618089 is an apocalyptic number.

10093618089 is the 100467-th square number.

10093618089 is the 50234-th centered octagonal number.

It is an amenable number.

10093618089 is a deficient number, since it is larger than the sum of its proper divisors (5292111176).

10093618089 is an frugal number, since it uses more digits than its factorization.

10093618089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

It can be divided in two parts, 100936 and 18089, that added together give a square (119025 = 345²).

The spelling of 10093618089 in words is "ten billion, ninety-three million, six hundred eighteen thousand, eighty-nine".