103530545421200 has 240 divisors, whose sum is σ = 277465507945920. Its totient is φ = 36892748021760.

The previous prime is 103530545421169. The next prime is 103530545421221. The reversal of 103530545421200 is 2124545035301.

It is a super-2 number, since 2×103530545421200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148620107 + ... + 149315093.

It is an arithmetic number, because the mean of its divisors is an integer number (1156106283108).

Almost surely, 2^{103530545421200} is an apocalyptic number.

103530545421200 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 103530545421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138732753972960).

103530545421200 is an abundant number, since it is smaller than the sum of its proper divisors (173934962524720).

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

103530545421200 is a wasteful number, since it uses less digits than its factorization.

103530545421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696194 (or 696183 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 103530545421200 in words is "one hundred three trillion, five hundred thirty billion, five hundred forty-five million, four hundred twenty-one thousand, two hundred".