105153345 has 48 divisors (see below), whose sum is σ = 201427200. Its totient is φ = 50319360.

The previous prime is 105153341. The next prime is 105153359. The reversal of 105153345 is 543351501.

It is not a de Polignac number, because 105153345 - 2² = 105153341 is a prime.

It is a super-2 number, since 2×105153345² = 22114451929378050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105153341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37761 + ... + 40449.

It is an arithmetic number, because the mean of its divisors is an integer number (4196400).

Almost surely, 2^105153345 is an apocalyptic number.

105153345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105153345 is a deficient number, since it is larger than the sum of its proper divisors (96273855).

105153345 is a wasteful number, since it uses less digits than its factorization.

105153345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105153345 is about 10254.4305058838. The cubic root of 105153345 is about 471.9989481567.

The spelling of 105153345 in words is "one hundred five million, one hundred fifty-three thousand, three hundred forty-five".