106016628 has 48 divisors (see below), whose sum is σ = 253632960. Its totient is φ = 34454784.

The previous prime is 106016609. The next prime is 106016633. The reversal of 106016628 is 826610601.

It is a super-2 number, since 2×106016628² = 22479050824980768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106016595 and 106016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96450 + ... + 97542.

It is an arithmetic number, because the mean of its divisors is an integer number (5284020).

Almost surely, 2^106016628 is an apocalyptic number.

It is an amenable number.

106016628 is an abundant number, since it is smaller than the sum of its proper divisors (147616332).

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

106016628 is a wasteful number, since it uses less digits than its factorization.

106016628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106016628 is about 10296.4376363867. The cubic root of 106016628 is about 473.2870943833.

The spelling of 106016628 in words is "one hundred six million, sixteen thousand, six hundred twenty-eight".