1364012100 has 216 divisors, whose sum is σ = 4825941120. Its totient is φ = 319200000.

The previous prime is 1364012087. The next prime is 1364012107. The reversal of 1364012100 is 12104631.

It is a happy number.

1364012100 is a `hidden beast` number, since 1 + 3 + 640 + 1 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1364012107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 284725 + ... + 289475.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^1364012100 is an apocalyptic number.

1364012100 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 1364012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412970560).

1364012100 is an abundant number, since it is smaller than the sum of its proper divisors (3461929020).

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

1364012100 is a wasteful number, since it uses less digits than its factorization.

1364012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1364012100 is about 36932.5344378097. The cubic root of 1364012100 is about 1109.0200750206.

Adding to 1364012100 its reverse (12104631), we get a palindrome (1376116731).

The spelling of 1364012100 in words is "one billion, three hundred sixty-four million, twelve thousand, one hundred".