106627150 has 48 divisors (see below), whose sum is σ = 230092416. Its totient is φ = 36004320.

The previous prime is 106627127. The next prime is 106627159. The reversal of 106627150 is 51726601.

It is a super-2 number, since 2×106627150² = 22738698234245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106627159) 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 23 ways as a sum of consecutive naturals, for example, 21177 + ... + 25723.

It is an arithmetic number, because the mean of its divisors is an integer number (4793592).

Almost surely, 2^106627150 is an apocalyptic number.

106627150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106627150 is an abundant number, since it is smaller than the sum of its proper divisors (123465266).

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

106627150 is a wasteful number, since it uses less digits than its factorization.

106627150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 106627150 is about 10326.0423202697. The cubic root of 106627150 is about 474.1938681287.

The spelling of 106627150 in words is "one hundred six million, six hundred twenty-seven thousand, one hundred fifty".