105772128 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 26726400.

The previous prime is 105772127. The next prime is 105772133. The reversal of 105772128 is 821277501.

It is a super-2 number, since 2×105772128² = 22375486123296768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105772127) 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 31 ways as a sum of consecutive naturals, for example, 302898 + ... + 303246.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^105772128 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 105772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

105772128 is an abundant number, since it is smaller than the sum of its proper divisors (249850272).

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

105772128 is a wasteful number, since it uses less digits than its factorization.

105772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 105772128 is about 10284.5577445022. The cubic root of 105772128 is about 472.9229761333.

The spelling of 105772128 in words is "one hundred five million, seven hundred seventy-two thousand, one hundred twenty-eight".