105751728 has 120 divisors (see below), whose sum is σ = 306157488. Its totient is φ = 34062336.

The previous prime is 105751727. The next prime is 105751733. The reversal of 105751728 is 827157501.

105751728 is a `hidden beast` number, since 10 + 575 + 1 + 72 + 8 = 666.

It is a super-2 number, since 2×105751728² = 22366855949971968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105751692 and 105751701.

It is not an unprimeable number, because it can be changed into a prime (105751727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935800 + ... + 935912.

Almost surely, 2^105751728 is an apocalyptic number.

105751728 is a gapful number since it is divisible by the number (18) 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 105751728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153078744).

105751728 is an abundant number, since it is smaller than the sum of its proper divisors (200405760).

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

105751728 is a wasteful number, since it uses less digits than its factorization.

105751728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 105751728 is about 10283.5659184934. The cubic root of 105751728 is about 472.8925703632.

The spelling of 105751728 in words is "one hundred five million, seven hundred fifty-one thousand, seven hundred twenty-eight".