10106628 has 48 divisors (see below), whose sum is σ = 27310080. Its totient is φ = 2849184.

The previous prime is 10106617. The next prime is 10106633. The reversal of 10106628 is 82660101.

It is a junction number, because it is equal to n+sod(n) for n = 10106598 and 10106607.

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, 5875 + ... + 7397.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 2^10106628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655040).

10106628 is an abundant number, since it is smaller than the sum of its proper divisors (17203452).

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

10106628 is a wasteful number, since it uses less digits than its factorization.

10106628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10106628 is about 3179.0923232898. The cubic root of 10106628 is about 216.2065068956.

Adding to 10106628 its reverse (82660101), we get a palindrome (92766729).

The spelling of 10106628 in words is "ten million, one hundred six thousand, six hundred twenty-eight".