10105370029 has 2 divisors, whose sum is σ = 10105370030. Its totient is φ = 10105370028.

The previous prime is 10105370003. The next prime is 10105370179. The reversal of 10105370029 is 92007350101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6115552804 + 3989817225 = 78202^2 + 63165^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105370029 - 2¹¹ = 10105367981 is a prime.

It is a super-2 number, since 2×10105370029² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105369979 and 10105370006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105370629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052685014 + 5052685015.

It is an arithmetic number, because the mean of its divisors is an integer number (5052685015).

Almost surely, 2^10105370029 is an apocalyptic number.

It is an amenable number.

10105370029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105370029 is an equidigital number, since it uses as much as digits as its factorization.

10105370029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The spelling of 10105370029 in words is "ten billion, one hundred five million, three hundred seventy thousand, twenty-nine".