103415364000 has 288 divisors, whose sum is σ = 395255309904. Its totient is φ = 25455974400.

The previous prime is 103415363983. The next prime is 103415364007. The reversal of 103415364000 is 463514301.

103415364000 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 15 + 3 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2741150736 + 100674213264 = 52356^2 + 317292^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×103415364000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103415364007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357514 + ... + 578486.

Almost surely, 2^103415364000 is an apocalyptic number.

103415364000 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 103415364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627654952).

103415364000 is an abundant number, since it is smaller than the sum of its proper divisors (291839945904).

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

103415364000 is a wasteful number, since it uses less digits than its factorization.

103415364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221017 (or 220996 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 103415364000 its reverse (463514301), we get a palindrome (103878878301).

The spelling of 103415364000 in words is "one hundred three billion, four hundred fifteen million, three hundred sixty-four thousand".