103261966336 has 39 divisors (see below), whose sum is σ = 206539857433. Its totient is φ = 51620700160.

The previous prime is 103261966331. The next prime is 103261966351. The reversal of 103261966336 is 633669162301.

The square root of 103261966336 is 321344.

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., 93547892736 + 9714073600 = 305856^2 + 98560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103261966331) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20563506 + ... + 20568526.

Almost surely, 2^103261966336 is an apocalyptic number.

103261966336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103261966336 is the 321344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103261966336

103261966336 is an abundant number, since it is smaller than the sum of its proper divisors (103277891097).

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

103261966336 is an frugal number, since it uses more digits than its factorization.

103261966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 103261966336 in words is "one hundred three billion, two hundred sixty-one million, nine hundred sixty-six thousand, three hundred thirty-six".