105101101037 has 2 divisors, whose sum is σ = 105101101038. Its totient is φ = 105101101036.

The previous prime is 105101101003. The next prime is 105101101057. The reversal of 105101101037 is 730101101501.

It is an a-pointer prime, because the next prime (105101101057) can be obtained adding 105101101037 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97210509796 + 7890591241 = 311786^2 + 88829^2 .

It is a cyclic number.

It is not a de Polignac number, because 105101101037 - 2¹² = 105101096941 is a prime.

It is a super-2 number, since 2×105101101037² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105101101057) 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, 52550550518 + 52550550519.

It is an arithmetic number, because the mean of its divisors is an integer number (52550550519).

Almost surely, 2^105101101037 is an apocalyptic number.

It is an amenable number.

105101101037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105101101037 is an equidigital number, since it uses as much as digits as its factorization.

105101101037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 20.

Adding to 105101101037 its reverse (730101101501), we get a palindrome (835202202538).

The spelling of 105101101037 in words is "one hundred five billion, one hundred one million, one hundred one thousand, thirty-seven".