106628020 has 12 divisors (see below), whose sum is σ = 223918884. Its totient is φ = 42651200.

The previous prime is 106627999. The next prime is 106628033. The reversal of 106628020 is 20826601.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 51897616 = 7398^2 + 7204^2 .

It is a super-2 number, since 2×106628020² = 22739069298240800, 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 3 ways as a sum of consecutive naturals, for example, 2665681 + ... + 2665720.

It is an arithmetic number, because the mean of its divisors is an integer number (18659907).

Almost surely, 2^106628020 is an apocalyptic number.

106628020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106628020 is an abundant number, since it is smaller than the sum of its proper divisors (117290864).

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

106628020 is a wasteful number, since it uses less digits than its factorization.

106628020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331410 (or 5331408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106628020 is about 10326.0844466816. The cubic root of 106628020 is about 474.1951578176.

The spelling of 106628020 in words is "one hundred six million, six hundred twenty-eight thousand, twenty".