105168348 has 24 divisors (see below), whose sum is σ = 272658960. Its totient is φ = 35056080.

The previous prime is 105168347. The next prime is 105168383. The reversal of 105168348 is 843861501.

It is a super-2 number, since 2×105168348² = 22120762842098208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105168347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486783 + ... + 486998.

It is an arithmetic number, because the mean of its divisors is an integer number (11360790).

Almost surely, 2^105168348 is an apocalyptic number.

105168348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105168348 is an abundant number, since it is smaller than the sum of its proper divisors (167490612).

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

105168348 is a wasteful number, since it uses less digits than its factorization.

105168348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973794 (or 973786 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105168348 is about 10255.1620172477. The cubic root of 105168348 is about 472.0213949413.

The spelling of 105168348 in words is "one hundred five million, one hundred sixty-eight thousand, three hundred forty-eight".