106136128 has 112 divisors (see below), whose sum is σ = 260990080. Its totient is φ = 41803776.

The previous prime is 106136123. The next prime is 106136131. The reversal of 106136128 is 821631601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106136128² = 22529755333664768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 106136096 and 106136105.

It is not an unprimeable number, because it can be changed into a prime (106136123) 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, 314776 + ... + 315112.

Almost surely, 2^106136128 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 106136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130495040).

106136128 is an abundant number, since it is smaller than the sum of its proper divisors (154853952).

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

106136128 is a wasteful number, since it uses less digits than its factorization.

106136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106136128 is about 10302.2389799499. The cubic root of 106136128 is about 473.4648544568.

Adding to 106136128 its reverse (821631601), we get a palindrome (927767729).

The spelling of 106136128 in words is "one hundred six million, one hundred thirty-six thousand, one hundred twenty-eight".