105353350 has 48 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 40762400.

The previous prime is 105353341. The next prime is 105353359. The reversal of 105353350 is 53353501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105353341) and next prime (105353359).

It is a super-2 number, since 2×105353350² = 22198656712445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353359) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 209199 + ... + 209701.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^105353350 is an apocalyptic number.

105353350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105353350 is a deficient number, since it is larger than the sum of its proper divisors (97133690).

105353350 is a wasteful number, since it uses less digits than its factorization.

105353350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 25.

The square root of 105353350 is about 10264.1779992360. The cubic root of 105353350 is about 472.2980109550.

The spelling of 105353350 in words is "one hundred five million, three hundred fifty-three thousand, three hundred fifty".