103478022400 has 81 divisors (see below), whose sum is σ = 256187986383. Its totient is φ = 41380915200.

The previous prime is 103478022377. The next prime is 103478022407. The reversal of 103478022400 is 4220874301.

The square root of 103478022400 is 321680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41050001664 + 62428020736 = 202608^2 + 249856^2 .

It is a super-2 number, since 2×103478022400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103478022407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25732390 + ... + 25736410.

Almost surely, 2^103478022400 is an apocalyptic number.

103478022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103478022400 is the 321680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103478022400

103478022400 is an abundant number, since it is smaller than the sum of its proper divisors (152709963983).

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

103478022400 is an frugal number, since it uses more digits than its factorization.

103478022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 103478022400 its reverse (4220874301), we get a palindrome (107698896701).

The spelling of 103478022400 in words is "one hundred three billion, four hundred seventy-eight million, twenty-two thousand, four hundred".