105100100506007 has 2 divisors, whose sum is σ = 105100100506008. Its totient is φ = 105100100506006.

The previous prime is 105100100505979. The next prime is 105100100506067. The reversal of 105100100506007 is 700605001001501.

It is a weak prime.

It is an emirp because it is prime and its reverse (700605001001501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105100100506007 - 2¹⁸ = 105100100243863 is a prime.

It is a super-2 number, since 2×105100100506007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100100506067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550050253003 + 52550050253004.

It is an arithmetic number, because the mean of its divisors is an integer number (52550050253004).

Almost surely, 2^{105100100506007} is an apocalyptic number.

105100100506007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100100506007 is an equidigital number, since it uses as much as digits as its factorization.

105100100506007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 105100100506007 its reverse (700605001001501), we get a palindrome (805705101507508).

The spelling of 105100100506007 in words is "one hundred five trillion, one hundred billion, one hundred million, five hundred six thousand, seven".