106086128 has 20 divisors (see below), whose sum is σ = 206013600. Its totient is φ = 52921344.

The previous prime is 106086119. The next prime is 106086133. The reversal of 106086128 is 821680601.

It is a super-2 number, since 2×106086128² = 22508533108064768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106086094 and 106086103.

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, 200 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (10300680).

Almost surely, 2^106086128 is an apocalyptic number.

It is an amenable number.

106086128 is a deficient number, since it is larger than the sum of its proper divisors (99927472).

106086128 is a wasteful number, since it uses less digits than its factorization.

106086128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224 (or 15218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 106086128 is about 10299.8120371199. The cubic root of 106086128 is about 473.3904940998.

The spelling of 106086128 in words is "one hundred six million, eighty-six thousand, one hundred twenty-eight".