106399128 has 64 divisors (see below), whose sum is σ = 294981120. Its totient is φ = 31708800.

The previous prime is 106399091. The next prime is 106399129. The reversal of 106399128 is 821993601.

It is a super-2 number, since 2×106399128² = 22641548878320768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106399129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12801 + ... + 19407.

It is an arithmetic number, because the mean of its divisors is an integer number (4609080).

Almost surely, 2^106399128 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 106399128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490560).

106399128 is an abundant number, since it is smaller than the sum of its proper divisors (188581992).

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

106399128 is a wasteful number, since it uses less digits than its factorization.

106399128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 106399128 is about 10314.9952981085. The cubic root of 106399128 is about 473.8556059315.

The spelling of 106399128 in words is "one hundred six million, three hundred ninety-nine thousand, one hundred twenty-eight".