103638528029 has 2 divisors, whose sum is σ = 103638528030. Its totient is φ = 103638528028.

The previous prime is 103638527981. The next prime is 103638528047. The reversal of 103638528029 is 920825836301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94670059225 + 8968468804 = 307685^2 + 94702^2 .

It is a cyclic number.

It is not a de Polignac number, because 103638528029 - 2¹⁶ = 103638462493 is a prime.

It is a super-3 number, since 3×103638528029³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103638528529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51819264014 + 51819264015.

It is an arithmetic number, because the mean of its divisors is an integer number (51819264015).

Almost surely, 2^103638528029 is an apocalyptic number.

It is an amenable number.

103638528029 is a deficient number, since it is larger than the sum of its proper divisors (1).

103638528029 is an equidigital number, since it uses as much as digits as its factorization.

103638528029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 103638528029 in words is "one hundred three billion, six hundred thirty-eight million, five hundred twenty-eight thousand, twenty-nine".