105741120 has 112 divisors (see below), whose sum is σ = 350398080. Its totient is φ = 26966016.

The previous prime is 105741113. The next prime is 105741127. The reversal of 105741120 is 21147501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105741113) and next prime (105741127).

It is a super-2 number, since 2×105741120² = 22362368917708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105741127) 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 15 ways as a sum of consecutive naturals, for example, 19686 + ... + 24474.

Almost surely, 2^105741120 is an apocalyptic number.

105741120 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 105741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175199040).

105741120 is an abundant number, since it is smaller than the sum of its proper divisors (244656960).

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

105741120 is a wasteful number, since it uses less digits than its factorization.

105741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105741120 is about 10283.0501311624. The cubic root of 105741120 is about 472.8767578174.

Adding to 105741120 its reverse (21147501), we get a palindrome (126888621).

The spelling of 105741120 in words is "one hundred five million, seven hundred forty-one thousand, one hundred twenty".