105435272 has 16 divisors (see below), whose sum is σ = 202513500. Its totient is φ = 51431680.

The previous prime is 105435263. The next prime is 105435277. The reversal of 105435272 is 272534501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89000356 + 16434916 = 9434^2 + 4054^2 .

It is a super-2 number, since 2×105435272² = 22233193163427968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105435277) 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, 160397 + ... + 161052.

Almost surely, 2^105435272 is an apocalyptic number.

It is an amenable number.

105435272 is a deficient number, since it is larger than the sum of its proper divisors (97078228).

105435272 is a wasteful number, since it uses less digits than its factorization.

105435272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321496 (or 321492 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 105435272 is about 10268.1678989000. The cubic root of 105435272 is about 472.4203977395.

Adding to 105435272 its reverse (272534501), we get a palindrome (377969773).

It can be divided in two parts, 10543 and 5272, that multiplied together give a triangular number (55582696 = T₁₀₅₄₃).

The spelling of 105435272 in words is "one hundred five million, four hundred thirty-five thousand, two hundred seventy-two".