106221128 has 64 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 46368000.

The previous prime is 106221127. The next prime is 106221133. The reversal of 106221128 is 821122601.

It is a super-2 number, since 2×106221128² = 22565856067184768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151178 + ... + 151878.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^106221128 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 106221128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

106221128 is an abundant number, since it is smaller than the sum of its proper divisors (120215992).

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

106221128 is a wasteful number, since it uses less digits than its factorization.

106221128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 106221128 is about 10306.3634711764. The cubic root of 106221128 is about 473.5912134852.

Adding to 106221128 its reverse (821122601), we get a palindrome (927343729).

The spelling of 106221128 in words is "one hundred six million, two hundred twenty-one thousand, one hundred twenty-eight".