2132105189929 has 27 divisors (see below), whose sum is σ = 2537942726487. Its totient is φ = 1789003959600.

The previous prime is 2132105189923. The next prime is 2132105189953. The reversal of 2132105189929 is 9299815012312.

It is a happy number.

The square root of 2132105189929 is 1460173.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 315400176025 + 1816705013904 = 561605^2 + 1347852^2 .

It is not a de Polignac number, because 2132105189929 - 2⁵ = 2132105189897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2132105189923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208799634 + ... + 208809844.

Almost surely, 2^{2132105189929} is an apocalyptic number.

2132105189929 is the 1460173-rd square number.

2132105189929 is the 730087-th centered octagonal number.

It is an amenable number.

2132105189929 is a deficient number, since it is larger than the sum of its proper divisors (405837536558).

2132105189929 is an frugal number, since it uses more digits than its factorization.

2132105189929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20470 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 2132105189929 in words is "two trillion, one hundred thirty-two billion, one hundred five million, one hundred eighty-nine thousand, nine hundred twenty-nine".