103544410445200 has 60 divisors (see below), whose sum is σ = 255488836566100. Its totient is φ = 40298365140480.

The previous prime is 103544410445149. The next prime is 103544410445207. The reversal of 103544410445200 is 2544014445301.

It can be written as a sum of positive squares in 6 ways, for example, as 18500011754896 + 85044398690304 = 4301164^2 + 9221952^2 .

It is a super-3 number, since 3×103544410445200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 103544410445200.

It is not an unprimeable number, because it can be changed into a prime (103544410445207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3498107175 + ... + 3498136774.

Almost surely, 2^{103544410445200} is an apocalyptic number.

103544410445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103544410445200 is an abundant number, since it is smaller than the sum of its proper divisors (151944426120900).

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

103544410445200 is a wasteful number, since it uses less digits than its factorization.

103544410445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996244004 (or 6996243993 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 103544410445200 in words is "one hundred three trillion, five hundred forty-four billion, four hundred ten million, four hundred forty-five thousand, two hundred".