103880233451520 has 1008 divisors, whose sum is σ = 377604299584512. Its totient is φ = 27419454996480.

The previous prime is 103880233451509. The next prime is 103880233451521. The reversal of 103880233451520 is 25154332088301.

103880233451520 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 80 + 2 + 3 + 3 + 45 + 1 + 520 = 666.

It is a super-2 number, since 2×103880233451520² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103880233451521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49209015265 + ... + 49209017375.

It is an arithmetic number, because the mean of its divisors is an integer number (374607440064).

Almost surely, 2^{103880233451520} is an apocalyptic number.

103880233451520 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 103880233451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188802149792256).

103880233451520 is an abundant number, since it is smaller than the sum of its proper divisors (273724066132992).

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

103880233451520 is an frugal number, since it uses more digits than its factorization.

103880233451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 103880233451520 in words is "one hundred three trillion, eight hundred eighty billion, two hundred thirty-three million, four hundred fifty-one thousand, five hundred twenty".