100105011565161 has 16 divisors (see below), whose sum is σ = 140570946047040. Its totient is φ = 63191509940160.

The previous prime is 100105011565127. The next prime is 100105011565211. The reversal of 100105011565161 is 161565110501001.

It is not a de Polignac number, because 100105011565161 - 2¹⁴ = 100105011548777 is a prime.

It is a super-2 number, since 2×100105011565161² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105011565061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454165110 + ... + 454385471.

It is an arithmetic number, because the mean of its divisors is an integer number (8785684127940).

Almost surely, 2^{100105011565161} is an apocalyptic number.

It is an amenable number.

100105011565161 is a deficient number, since it is larger than the sum of its proper divisors (40465934481879).

100105011565161 is a wasteful number, since it uses less digits than its factorization.

100105011565161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908552536.

The product of its (nonzero) digits is 4500, while the sum is 33.

The spelling of 100105011565161 in words is "one hundred trillion, one hundred five billion, eleven million, five hundred sixty-five thousand, one hundred sixty-one".