106772563183 has 16 divisors (see below), whose sum is σ = 125538940800. Its totient is φ = 89528035680.

The previous prime is 106772563151. The next prime is 106772563189. The reversal of 106772563183 is 381365277601.

It is a cyclic number.

It is not a de Polignac number, because 106772563183 - 2⁵ = 106772563151 is a prime.

It is a super-3 number, since 3×106772563183³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106772563189) 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 15 ways as a sum of consecutive naturals, for example, 116493 + ... + 476566.

It is an arithmetic number, because the mean of its divisors is an integer number (7846183800).

Almost surely, 2^106772563183 is an apocalyptic number.

106772563183 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106772563183 is a deficient number, since it is larger than the sum of its proper divisors (18766377617).

106772563183 is a wasteful number, since it uses less digits than its factorization.

106772563183 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594342.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 106772563183 in words is "one hundred six billion, seven hundred seventy-two million, five hundred sixty-three thousand, one hundred eighty-three".