106772641 has 2 divisors, whose sum is σ = 106772642. Its totient is φ = 106772640.

The previous prime is 106772599. The next prime is 106772657. The reversal of 106772641 is 146277601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86881041 + 19891600 = 9321^2 + 4460^2 .

It is a cyclic number.

It is not a de Polignac number, because 106772641 - 2⁹ = 106772129 is a prime.

It is a super-2 number, since 2×106772641² = 22800793732229762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106772597 and 106772606.

It is not a weakly prime, because it can be changed into another prime (106772681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53386320 + 53386321.

It is an arithmetic number, because the mean of its divisors is an integer number (53386321).

Almost surely, 2^106772641 is an apocalyptic number.

It is an amenable number.

106772641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106772641 is an equidigital number, since it uses as much as digits as its factorization.

106772641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 106772641 is about 10333.0847765805. The cubic root of 106772641 is about 474.4094466964.

The spelling of 106772641 in words is "one hundred six million, seven hundred seventy-two thousand, six hundred forty-one".