106555892041 has 9 divisors (see below), whose sum is σ = 107164204149. Its totient is φ = 105951019104.

The previous prime is 106555892021. The next prime is 106555892057. The reversal of 106555892041 is 140298555601.

The square root of 106555892041 is 326429.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20742048441 + 85813843600 = 144021^2 + 292940^2 .

It is not a de Polignac number, because 106555892041 - 2³¹ = 104408408393 is a prime.

It is a super-2 number, since 2×106555892041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106555891982 and 106555892000.

It is not an unprimeable number, because it can be changed into a prime (106555892021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64305685 + ... + 64307341.

Almost surely, 2^106555892041 is an apocalyptic number.

106555892041 is the 326429-th square number.

106555892041 is the 163215-th centered octagonal number.

It is an amenable number.

106555892041 is a deficient number, since it is larger than the sum of its proper divisors (608312108).

106555892041 is an frugal number, since it uses more digits than its factorization.

106555892041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 106555892041 in words is "one hundred six billion, five hundred fifty-five million, eight hundred ninety-two thousand, forty-one".