105144680 has 16 divisors (see below), whose sum is σ = 236575620. Its totient is φ = 42057856.

The previous prime is 105144679. The next prime is 105144719. The reversal of 105144680 is 86441501.

It can be written as a sum of positive squares in 2 ways, for example, as 99161764 + 5982916 = 9958^2 + 2446^2 .

It is a super-2 number, since 2×105144680² = 22110807464604800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314269 + ... + 1314348.

Almost surely, 2^105144680 is an apocalyptic number.

105144680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105144680 is an abundant number, since it is smaller than the sum of its proper divisors (131430940).

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

105144680 is a wasteful number, since it uses less digits than its factorization.

105144680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628628 (or 2628624 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 105144680 is about 10254.0079968761. The cubic root of 105144680 is about 471.9859830176.

The spelling of 105144680 in words is "one hundred five million, one hundred forty-four thousand, six hundred eighty".