105735348 has 24 divisors (see below), whose sum is σ = 274128960. Its totient is φ = 35245080.

The previous prime is 105735337. The next prime is 105735349. The reversal of 105735348 is 843537501.

It is a super-2 number, since 2×105735348² = 22359927633362208, 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 (105735349) 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 7 ways as a sum of consecutive naturals, for example, 489408 + ... + 489623.

It is an arithmetic number, because the mean of its divisors is an integer number (11422040).

Almost surely, 2^105735348 is an apocalyptic number.

105735348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105735348 is an abundant number, since it is smaller than the sum of its proper divisors (168393612).

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

105735348 is a wasteful number, since it uses less digits than its factorization.

105735348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979044 (or 979036 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 105735348 is about 10282.7694713049. The cubic root of 105735348 is about 472.8681534879.

The spelling of 105735348 in words is "one hundred five million, seven hundred thirty-five thousand, three hundred forty-eight".