103214014200 has 576 divisors, whose sum is σ = 402370675200. Its totient is φ = 23432908800.

The previous prime is 103214014147. The next prime is 103214014229. The reversal of 103214014200 is 2410412301.

103214014200 is a `hidden beast` number, since 103 + 2 + 140 + 1 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80446759 + ... + 80448041.

It is an arithmetic number, because the mean of its divisors is an integer number (698560200).

Almost surely, 2^103214014200 is an apocalyptic number.

103214014200 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 103214014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201185337600).

103214014200 is an abundant number, since it is smaller than the sum of its proper divisors (299156661000).

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

103214014200 is a wasteful number, since it uses less digits than its factorization.

103214014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103214014200 its reverse (2410412301), we get a palindrome (105624426501).

The spelling of 103214014200 in words is "one hundred three billion, two hundred fourteen million, fourteen thousand, two hundred".