106117128 has 288 divisors, whose sum is σ = 359704800. Its totient is φ = 29113344.

The previous prime is 106117091. The next prime is 106117133. The reversal of 106117128 is 821711601.

It is a super-2 number, since 2×106117128² = 22521689709936768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5585103 + ... + 5585121.

It is an arithmetic number, because the mean of its divisors is an integer number (1248975).

Almost surely, 2^106117128 is an apocalyptic number.

106117128 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 106117128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179852400).

106117128 is an abundant number, since it is smaller than the sum of its proper divisors (253587672).

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

106117128 is a wasteful number, since it uses less digits than its factorization.

106117128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 106117128 is about 10301.3168090298. The cubic root of 106117128 is about 473.4366002728.

Adding to 106117128 its reverse (821711601), we get a palindrome (927828729).

The spelling of 106117128 in words is "one hundred six million, one hundred seventeen thousand, one hundred twenty-eight".