103542330304 has 224 divisors, whose sum is σ = 261788184576. Its totient is φ = 39588003840.

The previous prime is 103542330299. The next prime is 103542330313. The reversal of 103542330304 is 403033245301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×103542330304³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19791369 + ... + 19796599.

Almost surely, 2^103542330304 is an apocalyptic number.

103542330304 is a gapful number since it is divisible by the number (14) 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 103542330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130894092288).

103542330304 is an abundant number, since it is smaller than the sum of its proper divisors (158245854272).

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

103542330304 is a wasteful number, since it uses less digits than its factorization.

103542330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 103542330304 its reverse (403033245301), we get a palindrome (506575575605).

It can be divided in two parts, 103542 and 330304, that added together give a triangular number (433846 = T₉₃₁).

The spelling of 103542330304 in words is "one hundred three billion, five hundred forty-two million, three hundred thirty thousand, three hundred four".