100106100967 has 2 divisors, whose sum is σ = 100106100968. Its totient is φ = 100106100966.

The previous prime is 100106100949. The next prime is 100106101033. The reversal of 100106100967 is 769001601001.

It is a weak prime.

It is an emirp because it is prime and its reverse (769001601001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100106100967 - 2³⁵ = 65746362599 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100106100917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053050483 + 50053050484.

It is an arithmetic number, because the mean of its divisors is an integer number (50053050484).

Almost surely, 2^100106100967 is an apocalyptic number.

100106100967 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106100967 is an equidigital number, since it uses as much as digits as its factorization.

100106100967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

Adding to 100106100967 its reverse (769001601001), we get a palindrome (869107701968).

The spelling of 100106100967 in words is "one hundred billion, one hundred six million, one hundred thousand, nine hundred sixty-seven".