105513324 has 48 divisors (see below), whose sum is σ = 285239808. Its totient is φ = 29731968.

The previous prime is 105513319. The next prime is 105513341. The reversal of 105513324 is 423315501.

It is a super-2 number, since 2×105513324² = 22266123083057952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105513294 and 105513303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2472 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (5942496).

Almost surely, 2^105513324 is an apocalyptic number.

105513324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105513324 is an abundant number, since it is smaller than the sum of its proper divisors (179726484).

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

105513324 is a wasteful number, since it uses less digits than its factorization.

105513324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17294 (or 17292 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105513324 is about 10271.9678737815. The cubic root of 105513324 is about 472.5369440053.

Adding to 105513324 its reverse (423315501), we get a palindrome (528828825).

The spelling of 105513324 in words is "one hundred five million, five hundred thirteen thousand, three hundred twenty-four".