106372128 has 48 divisors (see below), whose sum is σ = 295656480. Its totient is φ = 33371136.

The previous prime is 106372121. The next prime is 106372181. The reversal of 106372128 is 821273601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106372128² = 22630059230496768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106372095 and 106372104.

It is not an unprimeable number, because it can be changed into a prime (106372121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30958 + ... + 34221.

It is an arithmetic number, because the mean of its divisors is an integer number (6159510).

Almost surely, 2^106372128 is an apocalyptic number.

It is an amenable number.

106372128 is an abundant number, since it is smaller than the sum of its proper divisors (189284352).

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

106372128 is a wasteful number, since it uses less digits than its factorization.

106372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65209 (or 65201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106372128 is about 10313.6864408416. The cubic root of 106372128 is about 473.8155204409.

The spelling of 106372128 in words is "one hundred six million, three hundred seventy-two thousand, one hundred twenty-eight".