103380496464400 has 135 divisors (see below), whose sum is σ = 250405278454701. Its totient is φ = 41016341761920.

The previous prime is 103380496464347. The next prime is 103380496464437. The reversal of 103380496464400 is 4464694083301.

The square root of 103380496464400 is 10167620.

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

It can be written as a sum of positive squares in only one way, i.e., 37216978727184 + 66163517737216 = 6100572^2 + 8134096^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25825752799 + ... + 25825756801.

Almost surely, 2^{103380496464400} is an apocalyptic number.

103380496464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103380496464400 is the 10167620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103380496464400

103380496464400 is an abundant number, since it is smaller than the sum of its proper divisors (147024781990301).

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

103380496464400 is an frugal number, since it uses more digits than its factorization.

103380496464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 52.

The spelling of 103380496464400 in words is "one hundred three trillion, three hundred eighty billion, four hundred ninety-six million, four hundred sixty-four thousand, four hundred".