105960672 has 72 divisors (see below), whose sum is σ = 303803136. Its totient is φ = 35030016.

The previous prime is 105960629. The next prime is 105960691. The reversal of 105960672 is 276069501.

105960672 is a `hidden beast` number, since 1 + 0 + 596 + 0 + 67 + 2 = 666.

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

It is a super-2 number, since 2×105960672² = 22455328021383168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35128 + ... + 38024.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2^105960672 is an apocalyptic number.

105960672 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 105960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

105960672 is an abundant number, since it is smaller than the sum of its proper divisors (197842464).

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

105960672 is a wasteful number, since it uses less digits than its factorization.

105960672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105960672 is about 10293.7200272788. The cubic root of 105960672 is about 473.2038121226.

The spelling of 105960672 in words is "one hundred five million, nine hundred sixty thousand, six hundred seventy-two".