105506083489 has 9 divisors (see below), whose sum is σ = 107814256081. Its totient is φ = 103246331620.

The previous prime is 105506083481. The next prime is 105506083493. The reversal of 105506083489 is 984380605501.

The square root of 105506083489 is 324817.

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

It is not a de Polignac number, because 105506083489 - 2³ = 105506083481 is a prime.

It is a super-3 number, since 3×105506083489³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506083481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15262944 + ... + 15269854.

Almost surely, 2^105506083489 is an apocalyptic number.

105506083489 is the 324817-th square number.

105506083489 is the 162409-th centered octagonal number.

It is an amenable number.

105506083489 is a deficient number, since it is larger than the sum of its proper divisors (2308172592).

105506083489 is an frugal number, since it uses more digits than its factorization.

105506083489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13916 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 105506083489 by its sum of digits (49), we get a square (5169798090961 = 2273719²).

The spelling of 105506083489 in words is "one hundred five billion, five hundred six million, eighty-three thousand, four hundred eighty-nine".