103611776320 has 224 divisors, whose sum is σ = 277804961280. Its totient is φ = 36521041920.

The previous prime is 103611776269. The next prime is 103611776327. The reversal of 103611776320 is 23677116301.

It is a super-3 number, since 3×103611776320³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103611776320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103611776327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78552621 + ... + 78553939.

It is an arithmetic number, because the mean of its divisors is an integer number (1240200720).

Almost surely, 2^103611776320 is an apocalyptic number.

103611776320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103611776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138902480640).

103611776320 is an abundant number, since it is smaller than the sum of its proper divisors (174193184960).

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

103611776320 is a wasteful number, since it uses less digits than its factorization.

103611776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 103611776320 in words is "one hundred three billion, six hundred eleven million, seven hundred seventy-six thousand, three hundred twenty".