100166975961 has 16 divisors (see below), whose sum is σ = 143843836416. Its totient is φ = 61635073536.

The previous prime is 100166975933. The next prime is 100166975971. The reversal of 100166975961 is 169579661001.

It is not a de Polignac number, because 100166975961 - 2⁵ = 100166975929 is a prime.

It is a super-3 number, since 3×100166975961³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100166975921) 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 in 15 ways as a sum of consecutive naturals, for example, 285321 + ... + 530793.

It is an arithmetic number, because the mean of its divisors is an integer number (8990239776).

Almost surely, 2^100166975961 is an apocalyptic number.

It is an amenable number.

100166975961 is a deficient number, since it is larger than the sum of its proper divisors (43676860455).

100166975961 is a wasteful number, since it uses less digits than its factorization.

100166975961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255952.

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 100166975961 in words is "one hundred billion, one hundred sixty-six million, nine hundred seventy-five thousand, nine hundred sixty-one".