106583517789 has 32 divisors (see below), whose sum is σ = 171391918080. Its totient is φ = 57553924032.

The previous prime is 106583517743. The next prime is 106583517811. The reversal of 106583517789 is 987715385601.

It is a happy number.

It is not a de Polignac number, because 106583517789 - 2¹² = 106583513693 is a prime.

It is a super-2 number, since 2×106583517789² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106583517589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178029 + ... + 494834.

It is an arithmetic number, because the mean of its divisors is an integer number (5355997440).

Almost surely, 2^106583517789 is an apocalyptic number.

106583517789 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106583517789 is a deficient number, since it is larger than the sum of its proper divisors (64808400291).

106583517789 is a wasteful number, since it uses less digits than its factorization.

106583517789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673289.

The product of its (nonzero) digits is 12700800, while the sum is 60.

The spelling of 106583517789 in words is "one hundred six billion, five hundred eighty-three million, five hundred seventeen thousand, seven hundred eighty-nine".