101316829 has 2 divisors, whose sum is σ = 101316830. Its totient is φ = 101316828.

The previous prime is 101316823. The next prime is 101316833. The reversal of 101316829 is 928613101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62441604 + 38875225 = 7902^2 + 6235^2 .

It is a cyclic number.

It is not a de Polignac number, because 101316829 - 2¹⁷ = 101185757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101316829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101316823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50658414 + 50658415.

It is an arithmetic number, because the mean of its divisors is an integer number (50658415).

Almost surely, 2^101316829 is an apocalyptic number.

It is an amenable number.

101316829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101316829 is an equidigital number, since it uses as much as digits as its factorization.

101316829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 101316829 is about 10065.6261106799. The cubic root of 101316829 is about 466.1873981506.

The spelling of 101316829 in words is "one hundred one million, three hundred sixteen thousand, eight hundred twenty-nine".