106779286441 has 27 divisors (see below), whose sum is σ = 112566540573. Its totient is φ = 101285939160.

The previous prime is 106779286421. The next prime is 106779286573. The reversal of 106779286441 is 144682977601.

The square root of 106779286441 is 326771.

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

It is not a de Polignac number, because 106779286441 - 2⁵ = 106779286409 is a prime.

It is a super-3 number, since 3×106779286441³ (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 (106779286421) 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 26 ways as a sum of consecutive naturals, for example, 840781720 + ... + 840781846.

Almost surely, 2^106779286441 is an apocalyptic number.

106779286441 is the 326771-st square number.

106779286441 is the 163386-th centered octagonal number.

It is an amenable number.

106779286441 is a deficient number, since it is larger than the sum of its proper divisors (5787254132).

106779286441 is an frugal number, since it uses more digits than its factorization.

106779286441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 106779286441 in words is "one hundred six billion, seven hundred seventy-nine million, two hundred eighty-six thousand, four hundred forty-one".