109374302819089 has 45 divisors (see below), whose sum is σ = 140257114704329. Its totient is φ = 85222337018280.

The previous prime is 109374302819083. The next prime is 109374302819137. The reversal of 109374302819089 is 980918203473901.

The square root of 109374302819089 is 10458217.

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

It is not a de Polignac number, because 109374302819089 - 2²⁷ = 109374168601361 is a prime.

It is a super-3 number, since 3×109374302819089³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109374302819089.

It is not an unprimeable number, because it can be changed into a prime (109374302819083) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5636969262 + ... + 5636988664.

Almost surely, 2^{109374302819089} is an apocalyptic number.

109374302819089 is the 10458217-th square number.

109374302819089 is the 5229109-th centered octagonal number.

It is an amenable number.

109374302819089 is a deficient number, since it is larger than the sum of its proper divisors (30882811885240).

109374302819089 is an frugal number, since it uses more digits than its factorization.

109374302819089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38856 (or 19421 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

The spelling of 109374302819089 in words is "one hundred nine trillion, three hundred seventy-four billion, three hundred two million, eight hundred nineteen thousand, eighty-nine".