105752880 has 120 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 28016640.

The previous prime is 105752849. The next prime is 105752891. The reversal of 105752880 is 88257501.

105752880 is a `hidden beast` number, since 1 + 0 + 57 + 528 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105752880² = 22367343256588800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137136 + ... + 137904.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^105752880 is an apocalyptic number.

105752880 is a gapful number since it is divisible by the number (10) 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 105752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

105752880 is an abundant number, since it is smaller than the sum of its proper divisors (251724240).

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

105752880 is a wasteful number, since it uses less digits than its factorization.

105752880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 105752880 is about 10283.6219300400. The cubic root of 105752880 is about 472.8942874991.

The spelling of 105752880 in words is "one hundred five million, seven hundred fifty-two thousand, eight hundred eighty".