102532105 has 16 divisors (see below), whose sum is σ = 132889680. Its totient is φ = 75495168.

The previous prime is 102532061. The next prime is 102532109. The reversal of 102532105 is 501235201.

It can be written as a sum of positive squares in 8 ways, for example, as 1408969 + 101123136 = 1187^2 + 10056^2 .

It is a cyclic number.

It is not a de Polignac number, because 102532105 - 2⁹ = 102531593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102532109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22131 + ... + 26359.

It is an arithmetic number, because the mean of its divisors is an integer number (8305605).

Almost surely, 2^102532105 is an apocalyptic number.

It is an amenable number.

102532105 is a deficient number, since it is larger than the sum of its proper divisors (30357575).

102532105 is a wasteful number, since it uses less digits than its factorization.

102532105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 102532105 is about 10125.8137944562. The cubic root of 102532105 is about 468.0439377868.

Adding to 102532105 its reverse (501235201), we get a palindrome (603767306).

The spelling of 102532105 in words is "one hundred two million, five hundred thirty-two thousand, one hundred five".