103296122440900 has 81 divisors (see below), whose sum is σ = 234327382031911. Its totient is φ = 39521100287680.

The previous prime is 103296122440897. The next prime is 103296122440913. The reversal of 103296122440900 is 9044221692301.

The square root of 103296122440900 is 10163470.

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 57257400527044 + 46038721913856 = 7566862^2 + 6785184^2 .

It is a super-2 number, since 2×103296122440900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2337576006 + ... + 2337620194.

Almost surely, 2^{103296122440900} is an apocalyptic number.

103296122440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103296122440900 is the 10163470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103296122440900

103296122440900 is an abundant number, since it is smaller than the sum of its proper divisors (131031259591011).

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

103296122440900 is an frugal number, since it uses more digits than its factorization.

103296122440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88438 (or 44219 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 103296122440900 in words is "one hundred three trillion, two hundred ninety-six billion, one hundred twenty-two million, four hundred forty thousand, nine hundred".