103364870400 has 1296 divisors, whose sum is σ = 433428008832. Its totient is φ = 23248896000.

The previous prime is 103364870383. The next prime is 103364870407. The reversal of 103364870400 is 4078463301.

103364870400 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 648 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103364870407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597484714 + ... + 597484886.

It is an arithmetic number, because the mean of its divisors is an integer number (334435192).

Almost surely, 2^103364870400 is an apocalyptic number.

103364870400 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 103364870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216714004416).

103364870400 is an abundant number, since it is smaller than the sum of its proper divisors (330063138432).

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

103364870400 is a wasteful number, since it uses less digits than its factorization.

103364870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Subtracting from 103364870400 its product of nonzero digits (48384), we obtain a square (103364822016 = 321504²).

The spelling of 103364870400 in words is "one hundred three billion, three hundred sixty-four million, eight hundred seventy thousand, four hundred".