100605105 has 32 divisors (see below), whose sum is σ = 186635520. Its totient is φ = 51321600.

The previous prime is 100605101. The next prime is 100605119. The reversal of 100605105 is 501506001.

It is not a de Polignac number, because 100605105 - 2² = 100605101 is a prime.

It is a super-2 number, since 2×100605105² = 20242774304122050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100605101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13096 + ... + 19305.

It is an arithmetic number, because the mean of its divisors is an integer number (5832360).

Almost surely, 2^100605105 is an apocalyptic number.

100605105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100605105 is a deficient number, since it is larger than the sum of its proper divisors (86030415).

100605105 is a wasteful number, since it uses less digits than its factorization.

100605105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32438 (or 32432 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100605105 is about 10030.2096189462. The cubic root of 100605105 is about 465.0932175239.

The spelling of 100605105 in words is "one hundred million, six hundred five thousand, one hundred five".