105366080 has 28 divisors (see below), whose sum is σ = 250903740. Its totient is φ = 42146304.

The previous prime is 105366071. The next prime is 105366097. The reversal of 105366080 is 80663501.

It can be written as a sum of positive squares in 2 ways, for example, as 36675136 + 68690944 = 6056^2 + 8288^2 .

It is a super-2 number, since 2×105366080² = 22204021629132800, 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, 164315 + ... + 164954.

Almost surely, 2^105366080 is an apocalyptic number.

105366080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105366080 is an abundant number, since it is smaller than the sum of its proper divisors (145537660).

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

105366080 is an equidigital number, since it uses as much as digits as its factorization.

105366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329286 (or 329276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105366080 is about 10264.7980983554. The cubic root of 105366080 is about 472.3170330097.

The spelling of 105366080 in words is "one hundred five million, three hundred sixty-six thousand, eighty".