12760100 has 18 divisors (see below), whose sum is σ = 27689634. Its totient is φ = 5104000.

The previous prime is 12760091. The next prime is 12760117. The reversal of 12760100 is 106721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1036324 + 11723776 = 1018^2 + 3424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63701 + ... + 63900.

It is an arithmetic number, because the mean of its divisors is an integer number (1538313).

Almost surely, 2^12760100 is an apocalyptic number.

12760100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12760100 is an abundant number, since it is smaller than the sum of its proper divisors (14929534).

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

12760100 is a wasteful number, since it uses less digits than its factorization.

12760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127615 (or 127608 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 12760100 is about 3572.1282171837. The cubic root of 12760100 is about 233.6781070908.

Adding to 12760100 its reverse (106721), we get a palindrome (12866821).

The spelling of 12760100 in words is "twelve million, seven hundred sixty thousand, one hundred".