106204728 has 64 divisors (see below), whose sum is σ = 313920000. Its totient is φ = 29296512.

The previous prime is 106204727. The next prime is 106204733. The reversal of 106204728 is 827402601.

It is a super-2 number, since 2×106204728² = 22558888499107968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106204695 and 106204704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106204723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6028 + ... + 15771.

It is an arithmetic number, because the mean of its divisors is an integer number (4905000).

Almost surely, 2^106204728 is an apocalyptic number.

It is an amenable number.

106204728 is an abundant number, since it is smaller than the sum of its proper divisors (207715272).

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

106204728 is a wasteful number, since it uses less digits than its factorization.

106204728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21844 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106204728 is about 10305.5678155063. The cubic root of 106204728 is about 473.5668388753.

The spelling of 106204728 in words is "one hundred six million, two hundred four thousand, seven hundred twenty-eight".