106711367 has 24 divisors (see below), whose sum is σ = 129440160. Its totient is φ = 87635520.

The previous prime is 106711361. The next prime is 106711411. The reversal of 106711367 is 763117601.

It is not a de Polignac number, because 106711367 - 2¹⁴ = 106694983 is a prime.

It is a super-2 number, since 2×106711367² = 22774631694017378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106711361) 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 23 ways as a sum of consecutive naturals, for example, 128309 + ... + 129137.

It is an arithmetic number, because the mean of its divisors is an integer number (5393340).

Almost surely, 2^106711367 is an apocalyptic number.

106711367 is a deficient number, since it is larger than the sum of its proper divisors (22728793).

106711367 is an equidigital number, since it uses as much as digits as its factorization.

106711367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 106711367 is about 10330.1194087968. The cubic root of 106711367 is about 474.3186789786.

Adding to 106711367 its reverse (763117601), we get a palindrome (869828968).

The spelling of 106711367 in words is "one hundred six million, seven hundred eleven thousand, three hundred sixty-seven".