106856272 has 20 divisors (see below), whose sum is σ = 207774400. Its totient is φ = 53237088.

The previous prime is 106856261. The next prime is 106856279. The reversal of 106856272 is 272658601.

It is a happy number.

It is a super-2 number, since 2×106856272² = 22836525731475968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106856279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7272 + ... + 16327.

It is an arithmetic number, because the mean of its divisors is an integer number (10388720).

Almost surely, 2^106856272 is an apocalyptic number.

It is an amenable number.

106856272 is a deficient number, since it is larger than the sum of its proper divisors (100918128).

106856272 is a wasteful number, since it uses less digits than its factorization.

106856272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23890 (or 23884 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 106856272 is about 10337.1307431027. The cubic root of 106856272 is about 474.5332767395.

The spelling of 106856272 in words is "one hundred six million, eight hundred fifty-six thousand, two hundred seventy-two".