105431528 has 32 divisors (see below), whose sum is σ = 206616960. Its totient is φ = 50386560.

The previous prime is 105431509. The next prime is 105431533. The reversal of 105431528 is 825134501.

It is a super-2 number, since 2×105431528² = 22231614192829568, 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 105431528.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12908 + ... + 19428.

It is an arithmetic number, because the mean of its divisors is an integer number (6456780).

Almost surely, 2^105431528 is an apocalyptic number.

It is an amenable number.

105431528 is a deficient number, since it is larger than the sum of its proper divisors (101185432).

105431528 is a wasteful number, since it uses less digits than its factorization.

105431528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 105431528 is about 10267.9855862774. The cubic root of 105431528 is about 472.4148058003.

It can be divided in two parts, 105 and 431528, that multiplied together give a triangular number (45310440 = T₉₅₁₉).

The spelling of 105431528 in words is "one hundred five million, four hundred thirty-one thousand, five hundred twenty-eight".