103793508900 has 81 divisors (see below), whose sum is σ = 325365284881. Its totient is φ = 27675691680.

The previous prime is 103793508893. The next prime is 103793508937. The reversal of 103793508900 is 9805397301.

It is a happy number.

The square root of 103793508900 is 322170.

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., 37365663204 + 66427845696 = 193302^2 + 257736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9659731 + ... + 9670469.

Almost surely, 2^103793508900 is an apocalyptic number.

103793508900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103793508900 is the 322170-th square number.

It is an amenable number.

103793508900 is an abundant number, since it is smaller than the sum of its proper divisors (221571775981).

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

103793508900 is an equidigital number, since it uses as much as digits as its factorization.

103793508900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21498 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 103793508900 in words is "one hundred three billion, seven hundred ninety-three million, five hundred eight thousand, nine hundred".