2005102132 has 36 divisors (see below), whose sum is σ = 3896774980. Its totient is φ = 901992960.

The previous prime is 2005102117. The next prime is 2005102139. The reversal of 2005102132 is 2312015002.

It can be written as a sum of positive squares in 2 ways, for example, as 676208016 + 1328894116 = 26004^2 + 36454^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005102139) 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, 25594 + ... + 68302.

Almost surely, 2^2005102132 is an apocalyptic number.

2005102132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2005102132 is a deficient number, since it is larger than the sum of its proper divisors (1891672848).

2005102132 is a wasteful number, since it uses less digits than its factorization.

2005102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42832 (or 42819 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2005102132 is about 44778.3667857594. The cubic root of 2005102132 is about 1260.9915207140.

Adding to 2005102132 its reverse (2312015002), we get a palindrome (4317117134).

The spelling of 2005102132 in words is "two billion, five million, one hundred two thousand, one hundred thirty-two".