105210768 has 80 divisors (see below), whose sum is σ = 295050560. Its totient is φ = 32113152.

The previous prime is 105210761. The next prime is 105210793. The reversal of 105210768 is 867012501.

It is a super-2 number, since 2×105210768² = 22138611406299648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105210761) 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, 86130 + ... + 87342.

It is an arithmetic number, because the mean of its divisors is an integer number (3688132).

Almost surely, 2^105210768 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 105210768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147525280).

105210768 is an abundant number, since it is smaller than the sum of its proper divisors (189839792).

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

105210768 is a wasteful number, since it uses less digits than its factorization.

105210768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 105210768 is about 10257.2300354433. The cubic root of 105210768 is about 472.0848502059.

The spelling of 105210768 in words is "one hundred five million, two hundred ten thousand, seven hundred sixty-eight".