105144660 has 72 divisors (see below), whose sum is σ = 337709736. Its totient is φ = 26388480.

The previous prime is 105144659. The next prime is 105144673. The reversal of 105144660 is 66441501.

It can be written as a sum of positive squares in 4 ways, for example, as 37970244 + 67174416 = 6162^2 + 8196^2 .

It is a super-2 number, since 2×105144660² = 22110799053031200, 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 23 ways as a sum of consecutive naturals, for example, 14121 + ... + 20240.

It is an arithmetic number, because the mean of its divisors is an integer number (4690413).

Almost surely, 2^105144660 is an apocalyptic number.

105144660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105144660 is an abundant number, since it is smaller than the sum of its proper divisors (232565076).

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

105144660 is a wasteful number, since it uses less digits than its factorization.

105144660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34393 (or 34388 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105144660 is about 10254.0070216477. The cubic root of 105144660 is about 471.9859530915.

The spelling of 105144660 in words is "one hundred five million, one hundred forty-four thousand, six hundred sixty".