103216831200 has 1728 divisors, whose sum is σ = 472409763840. Its totient is φ = 21275136000.

The previous prime is 103216831129. The next prime is 103216831213. The reversal of 103216831200 is 2138612301.

It is a happy number.

It is a super-3 number, since 3×103216831200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1692079170 + ... + 1692079230.

It is an arithmetic number, because the mean of its divisors is an integer number (273385280).

Almost surely, 2^103216831200 is an apocalyptic number.

103216831200 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 103216831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236204881920).

103216831200 is an abundant number, since it is smaller than the sum of its proper divisors (369192932640).

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

103216831200 is a wasteful number, since it uses less digits than its factorization.

103216831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 103216831200 in words is "one hundred three billion, two hundred sixteen million, eight hundred thirty-one thousand, two hundred".