106816541583 has 16 divisors (see below), whose sum is σ = 143011224576. Its totient is φ = 70916884320.

The previous prime is 106816541581. The next prime is 106816541593. The reversal of 106816541583 is 385145618601.

It is a Cunningham number, because it is equal to 326828²-1.

It is not a de Polignac number, because 106816541583 - 2¹ = 106816541581 is a prime.

It is a super-2 number, since 2×106816541583² (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 (106816541581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926010 + ... + 1034952.

It is an arithmetic number, because the mean of its divisors is an integer number (8938201536).

Almost surely, 2^106816541583 is an apocalyptic number.

106816541583 is a deficient number, since it is larger than the sum of its proper divisors (36194682993).

106816541583 is a wasteful number, since it uses less digits than its factorization.

106816541583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110294.

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 106816541583 in words is "one hundred six billion, eight hundred sixteen million, five hundred forty-one thousand, five hundred eighty-three".