105748840 has 64 divisors (see below), whose sum is σ = 258143760. Its totient is φ = 38830080.

The previous prime is 105748829. The next prime is 105748861. The reversal of 105748840 is 48847501.

It can be written as a sum of positive squares in 8 ways, for example, as 16597476 + 89151364 = 4074^2 + 9442^2 .

It is a super-2 number, since 2×105748840² = 22365634322691200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105748840.

It is an unprimeable number.

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, 25984 + ... + 29776.

Almost surely, 2^105748840 is an apocalyptic number.

105748840 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 105748840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129071880).

105748840 is an abundant number, since it is smaller than the sum of its proper divisors (152394920).

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

105748840 is a wasteful number, since it uses less digits than its factorization.

105748840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 105748840 is about 10283.4254993168. The cubic root of 105748840 is about 472.8882655441. Note that the first 3 decimals are identical.

The spelling of 105748840 in words is "one hundred five million, seven hundred forty-eight thousand, eight hundred forty".