103546045300 has 72 divisors (see below), whose sum is σ = 231073257240. Its totient is φ = 40250572800.

The previous prime is 103546045289. The next prime is 103546045367. The reversal of 103546045300 is 3540645301.

It can be written as a sum of positive squares in 12 ways, for example, as 57487734756 + 46058310544 = 239766^2 + 214612^2 .

It is a super-3 number, since 3×103546045300³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004566 + ... + 1102834.

It is an arithmetic number, because the mean of its divisors is an integer number (3209350795).

Almost surely, 2^103546045300 is an apocalyptic number.

103546045300 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 103546045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115536628620).

103546045300 is an abundant number, since it is smaller than the sum of its proper divisors (127527211940).

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

103546045300 is a wasteful number, since it uses less digits than its factorization.

103546045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98581 (or 98574 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 103546045300 in words is "one hundred three billion, five hundred forty-six million, forty-five thousand, three hundred".