105648591 has 16 divisors (see below), whose sum is σ = 155637504. Its totient is φ = 63406464.

The previous prime is 105648583. The next prime is 105648619. The reversal of 105648591 is 195846501.

It is not a de Polignac number, because 105648591 - 2³ = 105648583 is a prime.

It is a super-2 number, since 2×105648591² = 22323249560570562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105648511) 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, 43861 + ... + 46206.

It is an arithmetic number, because the mean of its divisors is an integer number (9727344).

Almost surely, 2^105648591 is an apocalyptic number.

105648591 is a deficient number, since it is larger than the sum of its proper divisors (49988913).

105648591 is a wasteful number, since it uses less digits than its factorization.

105648591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90110.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 105648591 is about 10278.5500436589. The cubic root of 105648591 is about 472.7387869495.

The spelling of 105648591 in words is "one hundred five million, six hundred forty-eight thousand, five hundred ninety-one".