105963338 has 36 divisors (see below), whose sum is σ = 177661890. Its totient is φ = 47376576.

The previous prime is 105963317. The next prime is 105963343. The reversal of 105963338 is 833369501.

It can be written as a sum of positive squares in 9 ways, for example, as 45792289 + 60171049 = 6767^2 + 7757^2 .

It is a super-2 number, since 2×105963338² = 22456458000204488, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 462608 + ... + 462836.

Almost surely, 2^105963338 is an apocalyptic number.

105963338 is a deficient number, since it is larger than the sum of its proper divisors (71698552).

105963338 is a wasteful number, since it uses less digits than its factorization.

105963338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 105963338 is about 10293.8495228947. The cubic root of 105963338 is about 473.2077807359.

The spelling of 105963338 in words is "one hundred five million, nine hundred sixty-three thousand, three hundred thirty-eight".