105676128 has 72 divisors (see below), whose sum is σ = 302918616. Its totient is φ = 34944000.

The previous prime is 105676111. The next prime is 105676133. The reversal of 105676128 is 821676501.

105676128 is a `hidden beast` number, since 10 + 567 + 61 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105676128² = 22334888058144768, 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 = 105676092 and 105676101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36328 + ... + 39128.

It is an arithmetic number, because the mean of its divisors is an integer number (4207203).

Almost surely, 2^105676128 is an apocalyptic number.

105676128 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 105676128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151459308).

105676128 is an abundant number, since it is smaller than the sum of its proper divisors (197242488).

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

105676128 is a wasteful number, since it uses less digits than its factorization.

105676128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105676128 is about 10279.8894935695. The cubic root of 105676128 is about 472.7798560478.

The spelling of 105676128 in words is "one hundred five million, six hundred seventy-six thousand, one hundred twenty-eight".