105385948 has 24 divisors (see below), whose sum is σ = 189205632. Its totient is φ = 51333744.

The previous prime is 105385933. The next prime is 105385961. The reversal of 105385948 is 849583501.

It is a super-2 number, since 2×105385948² = 22212396071717408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 110811 + ... + 111757.

It is an arithmetic number, because the mean of its divisors is an integer number (7883568).

Almost surely, 2^105385948 is an apocalyptic number.

It is an amenable number.

105385948 is a deficient number, since it is larger than the sum of its proper divisors (83819684).

105385948 is a wasteful number, since it uses less digits than its factorization.

105385948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 105385948 is about 10265.7658262791. The cubic root of 105385948 is about 472.3467181008.

The spelling of 105385948 in words is "one hundred five million, three hundred eighty-five thousand, nine hundred forty-eight".