105752448 has 96 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 34375680.

The previous prime is 105752447. The next prime is 105752453. The reversal of 105752448 is 844257501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105752448² = 22367160515985408, 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 not an unprimeable number, because it can be changed into a prime (105752443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46113 + ... + 48351.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^105752448 is an apocalyptic number.

105752448 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 105752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

105752448 is an abundant number, since it is smaller than the sum of its proper divisors (206122752).

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

105752448 is a wasteful number, since it uses less digits than its factorization.

105752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 105752448 is about 10283.6009257458. The cubic root of 105752448 is about 472.8936435746.

The spelling of 105752448 in words is "one hundred five million, seven hundred fifty-two thousand, four hundred forty-eight".