106675128 has 48 divisors (see below), whose sum is σ = 330186480. Its totient is φ = 30478464.

The previous prime is 106675109. The next prime is 106675141. The reversal of 106675128 is 821576601.

It is a super-2 number, since 2×106675128² = 22759165867632768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106675092 and 106675101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105325 + ... + 106332.

It is an arithmetic number, because the mean of its divisors is an integer number (6878885).

Almost surely, 2^106675128 is an apocalyptic number.

106675128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106675128 is an abundant number, since it is smaller than the sum of its proper divisors (223511352).

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

106675128 is a wasteful number, since it uses less digits than its factorization.

106675128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211676 (or 211669 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 106675128 is about 10328.3652143018. The cubic root of 106675128 is about 474.2649802921.

The spelling of 106675128 in words is "one hundred six million, six hundred seventy-five thousand, one hundred twenty-eight".