106929167 has 8 divisors (see below), whose sum is σ = 113420736. Its totient is φ = 100460032.

The previous prime is 106929161. The next prime is 106929197. The reversal of 106929167 is 761929601.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106929167 is a prime.

It is a super-2 number, since 2×106929167² = 22867693510627778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106929161) 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, 4778 + ... + 15384.

It is an arithmetic number, because the mean of its divisors is an integer number (14177592).

Almost surely, 2^106929167 is an apocalyptic number.

106929167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106929167 is a deficient number, since it is larger than the sum of its proper divisors (6491569).

106929167 is a wasteful number, since it uses less digits than its factorization.

106929167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217.

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 106929167 is about 10340.6560236766. The cubic root of 106929167 is about 474.6411576022.

The spelling of 106929167 in words is "one hundred six million, nine hundred twenty-nine thousand, one hundred sixty-seven".