106071151120067 has 8 divisors (see below), whose sum is σ = 128355006397536. Its totient is φ = 85570004264832.

The previous prime is 106071151120031. The next prime is 106071151120117. The reversal of 106071151120067 is 760021151170601.

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 106071151120067 - 2²⁴ = 106071134342851 is a prime.

It is a super-2 number, since 2×106071151120067² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106071151120067.

It is not an unprimeable number, because it can be changed into a prime (106071151120007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445677105428 + ... + 445677105665.

It is an arithmetic number, because the mean of its divisors is an integer number (16044375799692).

Almost surely, 2^{106071151120067} is an apocalyptic number.

106071151120067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106071151120067 is a deficient number, since it is larger than the sum of its proper divisors (22283855277469).

106071151120067 is an equidigital number, since it uses as much as digits as its factorization.

106071151120067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891354211117.

The product of its (nonzero) digits is 17640, while the sum is 38.

The spelling of 106071151120067 in words is "one hundred six trillion, seventy-one billion, one hundred fifty-one million, one hundred twenty thousand, sixty-seven".