100506105013 has 2 divisors, whose sum is σ = 100506105014. Its totient is φ = 100506105012.

The previous prime is 100506104969. The next prime is 100506105023. The reversal of 100506105013 is 310501605001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94318394769 + 6187710244 = 307113^2 + 78662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100506105013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100506105023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50253052506 + 50253052507.

It is an arithmetic number, because the mean of its divisors is an integer number (50253052507).

Almost surely, 2^100506105013 is an apocalyptic number.

It is an amenable number.

100506105013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100506105013 is an equidigital number, since it uses as much as digits as its factorization.

100506105013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 100506105013 in words is "one hundred billion, five hundred six million, one hundred five thousand, thirteen".