103004454130500 has 768 divisors, whose sum is σ = 344334172815360. Its totient is φ = 23717249280000.

The previous prime is 103004454130433. The next prime is 103004454130537. The reversal of 103004454130500 is 5031454400301.

It is a super-2 number, since 2×103004454130500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14332047907 + ... + 14332055093.

It is an arithmetic number, because the mean of its divisors is an integer number (448351787520).

Almost surely, 2^{103004454130500} is an apocalyptic number.

103004454130500 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 103004454130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172167086407680).

103004454130500 is an abundant number, since it is smaller than the sum of its proper divisors (241329718684860).

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

103004454130500 is a wasteful number, since it uses less digits than its factorization.

103004454130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 103004454130500 in words is "one hundred three trillion, four billion, four hundred fifty-four million, one hundred thirty thousand, five hundred".