106166987121 has 8 divisors (see below), whose sum is σ = 152444904640. Its totient is φ = 65333530512.

The previous prime is 106166987119. The next prime is 106166987123. The reversal of 106166987121 is 121789661601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106166987119) and next prime (106166987123).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106166987121 - 2¹ = 106166987119 is a prime.

It is a super-2 number, since 2×106166987121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106166987123) 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 7 ways as a sum of consecutive naturals, for example, 1361115181 + ... + 1361115258.

It is an arithmetic number, because the mean of its divisors is an integer number (19055613080).

Almost surely, 2^106166987121 is an apocalyptic number.

It is an amenable number.

106166987121 is a deficient number, since it is larger than the sum of its proper divisors (46277917519).

106166987121 is a wasteful number, since it uses less digits than its factorization.

106166987121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722230455.

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 106166987121 in words is "one hundred six billion, one hundred sixty-six million, nine hundred eighty-seven thousand, one hundred twenty-one".