105979776 has 128 divisors (see below), whose sum is σ = 326073600. Its totient is φ = 29872128.

The previous prime is 105979771. The next prime is 105979787. The reversal of 105979776 is 677979501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105979776² = 22463425842020352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105979771) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239011 + ... + 239453.

It is an arithmetic number, because the mean of its divisors is an integer number (2547450).

Almost surely, 2^105979776 is an apocalyptic number.

105979776 is a gapful number since it is divisible by the number (16) 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 105979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163036800).

105979776 is an abundant number, since it is smaller than the sum of its proper divisors (220093824).

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

105979776 is an equidigital number, since it uses as much as digits as its factorization.

105979776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 51.

The square root of 105979776 is about 10294.6479298711. The cubic root of 105979776 is about 473.2322489072.

The spelling of 105979776 in words is "one hundred five million, nine hundred seventy-nine thousand, seven hundred seventy-six".