106772819 has 2 divisors, whose sum is σ = 106772820. Its totient is φ = 106772818.

The previous prime is 106772807. The next prime is 106772821. The reversal of 106772819 is 918277601.

It is a strong prime.

It is an emirp because it is prime and its reverse (918277601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106772819 - 2¹² = 106768723 is a prime.

It is a super-4 number, since 4×106772819⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 106772821, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106772879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53386409 + 53386410.

It is an arithmetic number, because the mean of its divisors is an integer number (53386410).

Almost surely, 2^106772819 is an apocalyptic number.

106772819 is a deficient number, since it is larger than the sum of its proper divisors (1).

106772819 is an equidigital number, since it uses as much as digits as its factorization.

106772819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 106772819 is about 10333.0933896873. The cubic root of 106772819 is about 474.4097103246.

The spelling of 106772819 in words is "one hundred six million, seven hundred seventy-two thousand, eight hundred nineteen".