106486128 has 120 divisors (see below), whose sum is σ = 343356000. Its totient is φ = 30177792.

The previous prime is 106486123. The next prime is 106486139. The reversal of 106486128 is 821684601.

106486128 is a `hidden beast` number, since 1 + 0 + 648 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×106486128² = 22678590912864768, 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 = 106486092 and 106486101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106486123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149838 + ... + 150546.

It is an arithmetic number, because the mean of its divisors is an integer number (2861300).

Almost surely, 2^106486128 is an apocalyptic number.

106486128 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 106486128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171678000).

106486128 is an abundant number, since it is smaller than the sum of its proper divisors (236869872).

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

106486128 is a wasteful number, since it uses less digits than its factorization.

106486128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

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

The square root of 106486128 is about 10319.2115977918. The cubic root of 106486128 is about 473.9847241779.

The spelling of 106486128 in words is "one hundred six million, four hundred eighty-six thousand, one hundred twenty-eight".