105076608 has 256 divisors, whose sum is σ = 358256640. Its totient is φ = 26542080.

The previous prime is 105076607. The next prime is 105076619. The reversal of 105076608 is 806670501.

It is a super-2 number, since 2×105076608² = 22082187097571328, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105076603) 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 31 ways as a sum of consecutive naturals, for example, 1083216 + ... + 1083312.

It is an arithmetic number, because the mean of its divisors is an integer number (1399440).

Almost surely, 2^105076608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179128320).

105076608 is an abundant number, since it is smaller than the sum of its proper divisors (253180032).

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

105076608 is a wasteful number, since it uses less digits than its factorization.

105076608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 105076608 is about 10250.6881720205. The cubic root of 105076608 is about 471.8841044572.

The spelling of 105076608 in words is "one hundred five million, seventy-six thousand, six hundred eight".