106112628 has 36 divisors (see below), whose sum is σ = 276884608. Its totient is φ = 34229520.

The previous prime is 106112599. The next prime is 106112641. The reversal of 106112628 is 826211601.

106112628 is a `hidden beast` number, since 1 + 0 + 611 + 26 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106112628² = 22519779642132768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46426 + ... + 48657.

Almost surely, 2^106112628 is an apocalyptic number.

106112628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106112628 is an abundant number, since it is smaller than the sum of its proper divisors (170771980).

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

106112628 is a wasteful number, since it uses less digits than its factorization.

106112628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95124 (or 95119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106112628 is about 10301.0983880361. The cubic root of 106112628 is about 473.4299079984.

It can be divided in two parts, 1061 and 12628, that added together give a square (13689 = 117²).

The spelling of 106112628 in words is "one hundred six million, one hundred twelve thousand, six hundred twenty-eight".