106822728 has 48 divisors (see below), whose sum is σ = 295476480. Its totient is φ = 34848864.

The previous prime is 106822721. The next prime is 106822733. The reversal of 106822728 is 827228601.

It is a happy number.

It is a super-2 number, since 2×106822728² = 22822190434723968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106822692 and 106822701.

It is not an unprimeable number, because it can be changed into a prime (106822721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12400 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (6155760).

Almost surely, 2^106822728 is an apocalyptic number.

106822728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106822728 is an abundant number, since it is smaller than the sum of its proper divisors (188653752).

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

106822728 is a wasteful number, since it uses less digits than its factorization.

106822728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31626 (or 31619 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106822728 is about 10335.5081152307. The cubic root of 106822728 is about 474.4836168557.

The spelling of 106822728 in words is "one hundred six million, eight hundred twenty-two thousand, seven hundred twenty-eight".