105888672 has 144 divisors (see below), whose sum is σ = 326158560. Its totient is φ = 32472576.

The previous prime is 105888659. The next prime is 105888683. The reversal of 105888672 is 276888501.

105888672 is a `hidden beast` number, since 1 + 0 + 588 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105888672² = 22424821715847168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202203 + ... + 202725.

It is an arithmetic number, because the mean of its divisors is an integer number (2264990).

Almost surely, 2^105888672 is an apocalyptic number.

105888672 is a gapful number since it is divisible by the number (12) 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 105888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163079280).

105888672 is an abundant number, since it is smaller than the sum of its proper divisors (220269888).

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

105888672 is a wasteful number, since it uses less digits than its factorization.

105888672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 105888672 is about 10290.2221550363. Note that the first 3 decimals coincide. The cubic root of 105888672 is about 473.0966075856.

The spelling of 105888672 in words is "one hundred five million, eight hundred eighty-eight thousand, six hundred seventy-two".