106686729 has 24 divisors (see below), whose sum is σ = 163088640. Its totient is φ = 67017888.

The previous prime is 106686707. The next prime is 106686761. The reversal of 106686729 is 927686601.

It is not a de Polignac number, because 106686729 - 2¹⁵ = 106653961 is a prime.

It is a super-2 number, since 2×106686729² = 22764116289438882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106686329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32104 + ... + 35270.

It is an arithmetic number, because the mean of its divisors is an integer number (6795360).

Almost surely, 2^106686729 is an apocalyptic number.

106686729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106686729 is a deficient number, since it is larger than the sum of its proper divisors (56401911).

106686729 is a wasteful number, since it uses less digits than its factorization.

106686729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 106686729 is about 10328.9268077569. The cubic root of 106686729 is about 474.2821718927.

The spelling of 106686729 in words is "one hundred six million, six hundred eighty-six thousand, seven hundred twenty-nine".