1129632100 has 27 divisors (see below), whose sum is σ = 2452031211. Its totient is φ = 451718400.

The previous prime is 1129632079. The next prime is 1129632103. The reversal of 1129632100 is 12369211.

The square root of 1129632100 is 33610.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 1113423424 = 4026^2 + 33368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1129632103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 334420 + ... + 337780.

Almost surely, 2^1129632100 is an apocalyptic number.

1129632100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1129632100 is the 33610-th square number.

It is an amenable number.

1129632100 is an abundant number, since it is smaller than the sum of its proper divisors (1322399111).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1129632100 is an frugal number, since it uses more digits than its factorization.

1129632100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 1129632100 is about 1041.4673874432.

Multiplying 1129632100 by its sum of digits (25), we get a square (28240802500 = 168050²).

1129632100 divided by its sum of digits (25) gives a square (45185284 = 6722²).

The spelling of 1129632100 in words is "one billion, one hundred twenty-nine million, six hundred thirty-two thousand, one hundred".