106115728 has 20 divisors (see below), whose sum is σ = 212232448. Its totient is φ = 51346080.

The previous prime is 106115719. The next prime is 106115731. The reversal of 106115728 is 827511601.

106115728 is an admirable number.

It is a super-2 number, since 2×106115728² = 22521095457939968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 106115728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106476 + ... + 107467.

Almost surely, 2^106115728 is an apocalyptic number.

It is an amenable number.

106115728 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106115728 is a wasteful number, since it uses less digits than its factorization.

106115728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213982 (or 213976 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 106115728 is about 10301.2488563281. The cubic root of 106115728 is about 473.4345182521.

The spelling of 106115728 in words is "one hundred six million, one hundred fifteen thousand, seven hundred twenty-eight".