106242167 has 8 divisors (see below), whose sum is σ = 115690800. Its totient is φ = 97179264.

The previous prime is 106242161. The next prime is 106242173. The reversal of 106242167 is 761242601.

It is an interprime number because it is at equal distance from previous prime (106242161) and next prime (106242173).

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

It is a cyclic number.

It is not a de Polignac number, because 106242167 - 2¹² = 106238071 is a prime.

It is a super-2 number, since 2×106242167² = 22574796097711778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106242161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95858 + ... + 96959.

It is an arithmetic number, because the mean of its divisors is an integer number (14461350).

Almost surely, 2^106242167 is an apocalyptic number.

106242167 is a deficient number, since it is larger than the sum of its proper divisors (9448633).

106242167 is a wasteful number, since it uses less digits than its factorization.

106242167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192865.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 106242167 is about 10307.3841007309. The cubic root of 106242167 is about 473.6224791664.

Adding to 106242167 its reverse (761242601), we get a palindrome (867484768).

The spelling of 106242167 in words is "one hundred six million, two hundred forty-two thousand, one hundred sixty-seven".