105345531 has 12 divisors (see below), whose sum is σ = 152427600. Its totient is φ = 70109520.

The previous prime is 105345529. The next prime is 105345563. The reversal of 105345531 is 135543501.

105345531 is a `hidden beast` number, since 105 + 3 + 4 + 553 + 1 = 666.

It is not a de Polignac number, because 105345531 - 2¹ = 105345529 is a prime.

It is a super-2 number, since 2×105345531² = 22195361803343922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105345495 and 105345504.

It is not an unprimeable number, because it can be changed into a prime (105345521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380 + ... + 15161.

It is an arithmetic number, because the mean of its divisors is an integer number (12702300).

Almost surely, 2^105345531 is an apocalyptic number.

105345531 is a deficient number, since it is larger than the sum of its proper divisors (47082069).

105345531 is a wasteful number, since it uses less digits than its factorization.

105345531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105345531 is about 10263.7971043859. The cubic root of 105345531 is about 472.2863264998.

The spelling of 105345531 in words is "one hundred five million, three hundred forty-five thousand, five hundred thirty-one".