105583316 has 12 divisors (see below), whose sum is σ = 191142420. Its totient is φ = 50971200.

The previous prime is 105583301. The next prime is 105583321. The reversal of 105583316 is 613385501.

It can be written as a sum of positive squares in 2 ways, for example, as 30691600 + 74891716 = 5540^2 + 8654^2 .

It is a super-2 number, since 2×105583316² = 22295673235111712, 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 3 ways as a sum of consecutive naturals, for example, 454985 + ... + 455216.

It is an arithmetic number, because the mean of its divisors is an integer number (15928535).

Almost surely, 2^105583316 is an apocalyptic number.

It is an amenable number.

105583316 is a deficient number, since it is larger than the sum of its proper divisors (85559104).

105583316 is a wasteful number, since it uses less digits than its factorization.

105583316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910234 (or 910232 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105583316 is about 10275.3742510918. The cubic root of 105583316 is about 472.6414063111.

The spelling of 105583316 in words is "one hundred five million, five hundred eighty-three thousand, three hundred sixteen".