106821128 has 8 divisors (see below), whose sum is σ = 200289630. Its totient is φ = 53410560.

The previous prime is 106821107. The next prime is 106821137. The reversal of 106821128 is 821128601.

It can be written as a sum of positive squares in only one way, i.e., 62758084 + 44063044 = 7922^2 + 6638^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×106821128² = 22821506774384768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106821128.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6676313 + ... + 6676328.

Almost surely, 2^106821128 is an apocalyptic number.

It is an amenable number.

106821128 is a deficient number, since it is larger than the sum of its proper divisors (93468502).

106821128 is a wasteful number, since it uses less digits than its factorization.

106821128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352647 (or 13352643 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 106821128 is about 10335.4307118765. The cubic root of 106821128 is about 474.4812478918.

Adding to 106821128 its reverse (821128601), we get a palindrome (927949729).

The spelling of 106821128 in words is "one hundred six million, eight hundred twenty-one thousand, one hundred twenty-eight".