106276128 has 96 divisors (see below), whose sum is σ = 321076224. Its totient is φ = 30150912.

The previous prime is 106276117. The next prime is 106276133. The reversal of 106276128 is 821672601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106276128² = 22589230765344768, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 111751 + ... + 112697.

It is an arithmetic number, because the mean of its divisors is an integer number (3344544).

Almost surely, 2^106276128 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 106276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160538112).

106276128 is an abundant number, since it is smaller than the sum of its proper divisors (214800096).

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

106276128 is a wasteful number, since it uses less digits than its factorization.

106276128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106276128 is about 10309.0313802995. The cubic root of 106276128 is about 473.6729392926.

The spelling of 106276128 in words is "one hundred six million, two hundred seventy-six thousand, one hundred twenty-eight".