105144560 has 40 divisors (see below), whose sum is σ = 252352896. Its totient is φ = 40700160.

The previous prime is 105144553. The next prime is 105144577. The reversal of 105144560 is 65441501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105144560² = 22110756995187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18719 + ... + 23678.

Almost surely, 2^105144560 is an apocalyptic number.

105144560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105144560 is an abundant number, since it is smaller than the sum of its proper divisors (147208336).

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

105144560 is a wasteful number, since it uses less digits than its factorization.

105144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42441 (or 42435 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105144560 is about 10254.0021455040. The cubic root of 105144560 is about 471.9858034608.

The spelling of 105144560 in words is "one hundred five million, one hundred forty-four thousand, five hundred sixty".