105530760 has 96 divisors (see below), whose sum is σ = 344274840. Its totient is φ = 28035072.

The previous prime is 105530753. The next prime is 105530773. The reversal of 105530760 is 67035501.

It can be written as a sum of positive squares in 4 ways, for example, as 94361796 + 11168964 = 9714^2 + 3342^2 .

It is a super-2 number, since 2×105530760² = 22273482612355200, which contains 22 as substring.

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, 155542 + ... + 156218.

Almost surely, 2^105530760 is an apocalyptic number.

105530760 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 105530760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172137420).

105530760 is an abundant number, since it is smaller than the sum of its proper divisors (238744080).

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

105530760 is a wasteful number, since it uses less digits than its factorization.

105530760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105530760 is about 10272.8165563296. The cubic root of 105530760 is about 472.5629713671.

The spelling of 105530760 in words is "one hundred five million, five hundred thirty thousand, seven hundred sixty".