1364216100 has 144 divisors (see below), whose sum is σ = 4265352000. Its totient is φ = 334656000.

The previous prime is 1364216059. The next prime is 1364216143. The reversal of 1364216100 is 16124631.

It is a super-2 number, since 2×1364216100² = 3722171134998420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945750 + ... + 1946450.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 2^1364216100 is an apocalyptic number.

1364216100 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 1364216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676000).

1364216100 is an abundant number, since it is smaller than the sum of its proper divisors (2901135900).

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

1364216100 is a wasteful number, since it uses less digits than its factorization.

1364216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1364216100 is about 36935.2961271465. The cubic root of 1364216100 is about 1109.0753601649.

The spelling of 1364216100 in words is "one billion, three hundred sixty-four million, two hundred sixteen thousand, one hundred".