106234128 has 360 divisors, whose sum is σ = 408209984. Its totient is φ = 25090560.

The previous prime is 106234127. The next prime is 106234129. The reversal of 106234128 is 821432601.

106234128 is a `hidden beast` number, since 10 + 623 + 4 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (106234127) and next prime (106234129).

It is a super-2 number, since 2×106234128² = 22571379903840768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106234127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1585551 + ... + 1585617.

Almost surely, 2^106234128 is an apocalyptic number.

106234128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106234128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204104992).

106234128 is an abundant number, since it is smaller than the sum of its proper divisors (301975856).

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

106234128 is a wasteful number, since it uses less digits than its factorization.

106234128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106234128 is about 10306.9941302011. The cubic root of 106234128 is about 473.6105330397.

Adding to 106234128 its reverse (821432601), we get a palindrome (927666729).

The spelling of 106234128 in words is "one hundred six million, two hundred thirty-four thousand, one hundred twenty-eight".