1260368100 has 324 divisors, whose sum is σ = 4382039844. Its totient is φ = 313528320.

The previous prime is 1260368093. The next prime is 1260368171. The reversal of 1260368100 is 18630621.

It can be written as a sum of positive squares in 6 ways, for example, as 124947684 + 1135420416 = 11178^2 + 33696^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×1260368100² = 3177055494995220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11153644 + ... + 11153756.

Almost surely, 2^1260368100 is an apocalyptic number.

1260368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191019922).

1260368100 is an abundant number, since it is smaller than the sum of its proper divisors (3121671744).

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

1260368100 is a wasteful number, since it uses less digits than its factorization.

1260368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1260368100 is about 35501.6633413140. The cubic root of 1260368100 is about 1080.1874674573.

Adding to 1260368100 its reverse (18630621), we get a palindrome (1278998721).

The spelling of 1260368100 in words is "one billion, two hundred sixty million, three hundred sixty-eight thousand, one hundred".