105948568 has 24 divisors (see below), whose sum is σ = 218356740. Its totient is φ = 48158000.

The previous prime is 105948547. The next prime is 105948589. The reversal of 105948568 is 865849501.

It is an interprime number because it is at equal distance from previous prime (105948547) and next prime (105948589).

It is a super-2 number, since 2×105948568² = 22450198122501248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53758 + ... + 55693.

Almost surely, 2^105948568 is an apocalyptic number.

It is an amenable number.

105948568 is an abundant number, since it is smaller than the sum of its proper divisors (112408172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105948568 is a wasteful number, since it uses less digits than its factorization.

105948568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109479 (or 109464 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 105948568 is about 10293.1320792070. The cubic root of 105948568 is about 473.1857932453.

The spelling of 105948568 in words is "one hundred five million, nine hundred forty-eight thousand, five hundred sixty-eight".