103789642896 has 315 divisors, whose sum is σ = 320244056361. Its totient is φ = 32566914432.

The previous prime is 103789642889. The next prime is 103789642937. The reversal of 103789642896 is 698246987301.

The square root of 103789642896 is 322164.

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

103789642896 is a `hidden beast` number, since 1 + 0 + 37 + 8 + 96 + 428 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30422336400 + 73367306496 = 174420^2 + 270864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 661080450 + ... + 661080606.

Almost surely, 2^103789642896 is an apocalyptic number.

103789642896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103789642896 is the 322164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103789642896

103789642896 is an abundant number, since it is smaller than the sum of its proper divisors (216454413465).

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

103789642896 is an frugal number, since it uses more digits than its factorization.

103789642896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 103789642896 in words is "one hundred three billion, seven hundred eighty-nine million, six hundred forty-two thousand, eight hundred ninety-six".