47542105 has 16 divisors (see below), whose sum is σ = 61591824. Its totient is φ = 35020800.

The previous prime is 47542091. The next prime is 47542147. The reversal of 47542105 is 50124574.

It can be written as a sum of positive squares in 8 ways, for example, as 1247689 + 46294416 = 1117^2 + 6804^2 .

It is not a de Polignac number, because 47542105 - 2⁵ = 47542073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38457 + ... + 39673.

It is an arithmetic number, because the mean of its divisors is an integer number (3849489).

Almost surely, 2^47542105 is an apocalyptic number.

It is an amenable number.

47542105 is a deficient number, since it is larger than the sum of its proper divisors (14049719).

47542105 is a wasteful number, since it uses less digits than its factorization.

47542105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836.

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 47542105 is about 6895.0783171767. The cubic root of 47542105 is about 362.2647986756.

Adding to 47542105 its reverse (50124574), we get a palindrome (97666679).

It can be divided in two parts, 4754 and 2105, that added together give a cube (6859 = 19³).

The spelling of 47542105 in words is "forty-seven million, five hundred forty-two thousand, one hundred five".