106864128 has 120 divisors (see below), whose sum is σ = 352583088. Its totient is φ = 30523392.

The previous prime is 106864123. The next prime is 106864157. The reversal of 106864128 is 821468601.

106864128 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 641 + 2 + 8 = 666.

It is a super-2 number, since 2×106864128² = 22839883706400768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106864092 and 106864101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106864123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30600 + ... + 33912.

Almost surely, 2^106864128 is an apocalyptic number.

106864128 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 106864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176291544).

106864128 is an abundant number, since it is smaller than the sum of its proper divisors (245718960).

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

106864128 is an equidigital number, since it uses as much as digits as its factorization.

106864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106864128 is about 10337.5107255083. The cubic root of 106864128 is about 474.5449055751.

The spelling of 106864128 in words is "one hundred six million, eight hundred sixty-four thousand, one hundred twenty-eight".