105513040 has 20 divisors (see below), whose sum is σ = 245318004. Its totient is φ = 42205184.

The previous prime is 105513019. The next prime is 105513041. The reversal of 105513040 is 40315501.

It can be written as a sum of positive squares in 2 ways, for example, as 60031504 + 45481536 = 7748^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105513040² = 22266003220083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105512999 and 105513017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659377 + ... + 659536.

Almost surely, 2^105513040 is an apocalyptic number.

105513040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513040 is an abundant number, since it is smaller than the sum of its proper divisors (139804964).

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

105513040 is a wasteful number, since it uses less digits than its factorization.

105513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318926 (or 1318920 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105513040 is about 10271.9540497415. The cubic root of 105513040 is about 472.5365200443.

Adding to 105513040 its reverse (40315501), we get a palindrome (145828541).

The spelling of 105513040 in words is "one hundred five million, five hundred thirteen thousand, forty".