105782963 has 16 divisors (see below), whose sum is σ = 127641696. Its totient is φ = 86365440.

The previous prime is 105782933. The next prime is 105782983. The reversal of 105782963 is 369287501.

It is a cyclic number.

It is not a de Polignac number, because 105782963 - 2⁸ = 105782707 is a prime.

It is a super-2 number, since 2×105782963² = 22380070522118738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105782963.

It is not an unprimeable number, because it can be changed into a prime (105782903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4706 + ... + 15287.

It is an arithmetic number, because the mean of its divisors is an integer number (7977606).

Almost surely, 2^105782963 is an apocalyptic number.

105782963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105782963 is a deficient number, since it is larger than the sum of its proper divisors (21858733).

105782963 is a wasteful number, since it uses less digits than its factorization.

105782963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 105782963 is about 10285.0844916316. The cubic root of 105782963 is about 472.9391238828.

The spelling of 105782963 in words is "one hundred five million, seven hundred eighty-two thousand, nine hundred sixty-three".