106729271 has 8 divisors (see below), whose sum is σ = 116947584. Its totient is φ = 96596920.

The previous prime is 106729261. The next prime is 106729307. The reversal of 106729271 is 172927601.

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 106729271 - 2²² = 102534967 is a prime.

It is a super-3 number, since 3×106729271³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106729211) 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, 18875 + ... + 23868.

It is an arithmetic number, because the mean of its divisors is an integer number (14618448).

Almost surely, 2^106729271 is an apocalyptic number.

106729271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106729271 is a deficient number, since it is larger than the sum of its proper divisors (10218313).

106729271 is a wasteful number, since it uses less digits than its factorization.

106729271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42981.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 106729271 is about 10330.9859645631. The cubic root of 106729271 is about 474.3452045087.

The spelling of 106729271 in words is "one hundred six million, seven hundred twenty-nine thousand, two hundred seventy-one".