105763728 has 80 divisors (see below), whose sum is σ = 328709120. Its totient is φ = 28626048.

The previous prime is 105763727. The next prime is 105763733. The reversal of 105763728 is 827367501.

It is a super-2 number, since 2×105763728² = 22371932320915968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105763727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900 + ... + 14667.

It is an arithmetic number, because the mean of its divisors is an integer number (4108864).

Almost surely, 2^105763728 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 105763728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164354560).

105763728 is an abundant number, since it is smaller than the sum of its proper divisors (222945392).

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

105763728 is a wasteful number, since it uses less digits than its factorization.

105763728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16604 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 105763728 is about 10284.1493571418. The cubic root of 105763728 is about 472.9104565838.

It can be divided in two parts, 105763 and 728, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 105763728 in words is "one hundred five million, seven hundred sixty-three thousand, seven hundred twenty-eight".