105513432 has 16 divisors (see below), whose sum is σ = 263783640. Its totient is φ = 35171136.

The previous prime is 105513413. The next prime is 105513433. The reversal of 105513432 is 234315501.

It is a super-2 number, since 2×105513432² = 22266168664837248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4396393 = 105513432 / (1 + 0 + 5 + 5 + 1 + 3 + 4 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2198173 + ... + 2198220.

Almost surely, 2^105513432 is an apocalyptic number.

105513432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105513432 is an abundant number, since it is smaller than the sum of its proper divisors (158270208).

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

105513432 is a wasteful number, since it uses less digits than its factorization.

105513432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396402 (or 4396398 counting only the distinct ones).

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

The square root of 105513432 is about 10271.9731308060. The cubic root of 105513432 is about 472.5371052297.

Adding to 105513432 its reverse (234315501), we get a palindrome (339828933).

The spelling of 105513432 in words is "one hundred five million, five hundred thirteen thousand, four hundred thirty-two".