890563105 has 16 divisors (see below), whose sum is σ = 1180738944. Its totient is φ = 641386240.

The previous prime is 890563073. The next prime is 890563109. The reversal of 890563105 is 501365098.

It is not a de Polignac number, because 890563105 - 2⁵ = 890563073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (890563109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225811 + ... + 229720.

It is an arithmetic number, because the mean of its divisors is an integer number (73796184).

Almost surely, 2^890563105 is an apocalyptic number.

890563105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

890563105 is a deficient number, since it is larger than the sum of its proper divisors (290175839).

890563105 is a wasteful number, since it uses less digits than its factorization.

890563105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455576.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 890563105 is about 29842.3039492597. The cubic root of 890563105 is about 962.1029943050.

It can be divided in two parts, 8905 and 63105, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 890563105 in words is "eight hundred ninety million, five hundred sixty-three thousand, one hundred five".