106834272 has 24 divisors (see below), whose sum is σ = 280440216. Its totient is φ = 35611392.

The previous prime is 106834229. The next prime is 106834297. The reversal of 106834272 is 272438601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106834272² = 22827123347539968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 556333 + ... + 556524.

It is an arithmetic number, because the mean of its divisors is an integer number (11685009).

Almost surely, 2^106834272 is an apocalyptic number.

106834272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106834272 is an abundant number, since it is smaller than the sum of its proper divisors (173605944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106834272 is a wasteful number, since it uses less digits than its factorization.

106834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112870 (or 1112862 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 106834272 is about 10336.0665632532. The cubic root of 106834272 is about 474.5007082297.

The spelling of 106834272 in words is "one hundred six million, eight hundred thirty-four thousand, two hundred seventy-two".