106411006849 has 9 divisors (see below), whose sum is σ = 123786888771. Its totient is φ = 91207477200.

The previous prime is 106411006843. The next prime is 106411006859. The reversal of 106411006849 is 948600114601.

The square root of 106411006849 is 326207.

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

It can be written as a sum of positive squares in only one way, i.e., 11547006849 + 94864000000 = 107457^2 + 308000^2 .

It is not a de Polignac number, because 106411006849 - 2¹⁵ = 106410974081 is a prime.

It is a super-2 number, since 2×106411006849² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106411006843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2260149 + ... + 2306749.

Almost surely, 2^106411006849 is an apocalyptic number.

106411006849 is the 326207-th square number.

106411006849 is the 163104-th centered octagonal number.

It is an amenable number.

106411006849 is a deficient number, since it is larger than the sum of its proper divisors (17375881922).

106411006849 is an frugal number, since it uses more digits than its factorization.

106411006849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93216 (or 46608 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 106411006849 in words is "one hundred six billion, four hundred eleven million, six thousand, eight hundred forty-nine".