103211809200 has 960 divisors, whose sum is σ = 397601218560. Its totient is φ = 25380864000.

The previous prime is 103211809199. The next prime is 103211809277. The reversal of 103211809200 is 2908112301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1002056349 + ... + 1002056451.

It is an arithmetic number, because the mean of its divisors is an integer number (414167936).

Almost surely, 2^103211809200 is an apocalyptic number.

103211809200 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 103211809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198800609280).

103211809200 is an abundant number, since it is smaller than the sum of its proper divisors (294389409360).

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

103211809200 is a wasteful number, since it uses less digits than its factorization.

103211809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 103211809200 in words is "one hundred three billion, two hundred eleven million, eight hundred nine thousand, two hundred".