105513450 has 72 divisors (see below), whose sum is σ = 300001632. Its totient is φ = 24041280.

The previous prime is 105513433. The next prime is 105513451. The reversal of 105513450 is 54315501.

It is a super-2 number, since 2×105513450² = 22266176261805000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105513450.

It is not an unprimeable number, because it can be changed into a prime (105513451) 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 35 ways as a sum of consecutive naturals, for example, 332692 + ... + 333008.

Almost surely, 2^105513450 is an apocalyptic number.

105513450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105513450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150000816).

105513450 is an abundant number, since it is smaller than the sum of its proper divisors (194488182).

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

105513450 is an equidigital number, since it uses as much as digits as its factorization.

105513450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105513450 is about 10271.9740069765. The cubic root of 105513450 is about 472.5371321005.

Adding to 105513450 its reverse (54315501), we get a palindrome (159828951).

The spelling of 105513450 in words is "one hundred five million, five hundred thirteen thousand, four hundred fifty".