103266561200 has 240 divisors, whose sum is σ = 289431519840. Its totient is φ = 34990080000.

The previous prime is 103266561197. The next prime is 103266561329. The reversal of 103266561200 is 2165662301.

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, 7547966 + ... + 7561634.

It is an arithmetic number, because the mean of its divisors is an integer number (1205964666).

Almost surely, 2^103266561200 is an apocalyptic number.

103266561200 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 103266561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144715759920).

103266561200 is an abundant number, since it is smaller than the sum of its proper divisors (186164958640).

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

103266561200 is a wasteful number, since it uses less digits than its factorization.

103266561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

It can be divided in two parts, 103266 and 561200, that added together give a palindrome (664466).

The spelling of 103266561200 in words is "one hundred three billion, two hundred sixty-six million, five hundred sixty-one thousand, two hundred".