105005450 has 48 divisors (see below), whose sum is σ = 216146880. Its totient is φ = 37632000.

The previous prime is 105005449. The next prime is 105005489. The reversal of 105005450 is 54500501.

It is a super-2 number, since 2×105005450² = 22052289059405000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37706 + ... + 40394.

It is an arithmetic number, because the mean of its divisors is an integer number (4503060).

Almost surely, 2^105005450 is an apocalyptic number.

105005450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005450 is an abundant number, since it is smaller than the sum of its proper divisors (111141430).

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

105005450 is a wasteful number, since it uses less digits than its factorization.

105005450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 105005450 is about 10247.2166952788. The cubic root of 105005450 is about 471.7775602499. Note that the first 3 decimals are identical.

Adding to 105005450 its reverse (54500501), we get a palindrome (159505951).

The spelling of 105005450 in words is "one hundred five million, five thousand, four hundred fifty".