100105005511037 has 2 divisors, whose sum is σ = 100105005511038. Its totient is φ = 100105005511036.

The previous prime is 100105005510967. The next prime is 100105005511051. The reversal of 100105005511037 is 730115500501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98434058903236 + 1670946607801 = 9921394^2 + 1292651^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105005511037 - 2¹⁴ = 100105005494653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105005511237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052502755518 + 50052502755519.

It is an arithmetic number, because the mean of its divisors is an integer number (50052502755519).

Almost surely, 2^{100105005511037} is an apocalyptic number.

It is an amenable number.

100105005511037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105005511037 is an equidigital number, since it uses as much as digits as its factorization.

100105005511037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2625, while the sum is 29.

The spelling of 100105005511037 in words is "one hundred trillion, one hundred five billion, five million, five hundred eleven thousand, thirty-seven".