100020105637 has 2 divisors, whose sum is σ = 100020105638. Its totient is φ = 100020105636.

The previous prime is 100020105623. The next prime is 100020105671. The reversal of 100020105637 is 736501020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92707461441 + 7312644196 = 304479^2 + 85514^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020105637 - 2¹⁵ = 100020072869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020105337) 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, 50010052818 + 50010052819.

It is an arithmetic number, because the mean of its divisors is an integer number (50010052819).

Almost surely, 2^100020105637 is an apocalyptic number.

It is an amenable number.

100020105637 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020105637 is an equidigital number, since it uses as much as digits as its factorization.

100020105637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

Adding to 100020105637 its reverse (736501020001), we get a palindrome (836521125638).

The spelling of 100020105637 in words is "one hundred billion, twenty million, one hundred five thousand, six hundred thirty-seven".