100105667 has 2 divisors, whose sum is σ = 100105668. Its totient is φ = 100105666.

The previous prime is 100105657. The next prime is 100105717. The reversal of 100105667 is 766501001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100105667 - 2¹² = 100101571 is a prime.

It is a super-2 number, since 2×100105667² = 20042289131029778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105627) 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, 50052833 + 50052834.

It is an arithmetic number, because the mean of its divisors is an integer number (50052834).

Almost surely, 2^100105667 is an apocalyptic number.

100105667 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105667 is an equidigital number, since it uses as much as digits as its factorization.

100105667 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 26.

The square root of 100105667 is about 10005.2819550475. The cubic root of 100105667 is about 464.3223134000.

Adding to 100105667 its reverse (766501001), we get a palindrome (866606668).

The spelling of 100105667 in words is "one hundred million, one hundred five thousand, six hundred sixty-seven".