106123793 has 2 divisors, whose sum is σ = 106123794. Its totient is φ = 106123792.

The previous prime is 106123763. The next prime is 106123799. The reversal of 106123793 is 397321601.

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., 59105344 + 47018449 = 7688^2 + 6857^2 .

It is a cyclic number.

It is not a de Polignac number, because 106123793 - 2⁶ = 106123729 is a prime.

It is a super-2 number, since 2×106123793² = 22524518881413698, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106123799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53061896 + 53061897.

It is an arithmetic number, because the mean of its divisors is an integer number (53061897).

Almost surely, 2^106123793 is an apocalyptic number.

It is an amenable number.

106123793 is a deficient number, since it is larger than the sum of its proper divisors (1).

106123793 is an equidigital number, since it uses as much as digits as its factorization.

106123793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 106123793 is about 10301.6403062813. The cubic root of 106123793 is about 473.4465119271.

The spelling of 106123793 in words is "one hundred six million, one hundred twenty-three thousand, seven hundred ninety-three".