103242211400 has 192 divisors, whose sum is σ = 265311590400. Its totient is φ = 37187631360.

The previous prime is 103242211399. The next prime is 103242211421. The reversal of 103242211400 is 4112242301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14242577 + ... + 14249823.

It is an arithmetic number, because the mean of its divisors is an integer number (1381831200).

Almost surely, 2^103242211400 is an apocalyptic number.

103242211400 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 103242211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132655795200).

103242211400 is an abundant number, since it is smaller than the sum of its proper divisors (162069379000).

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

103242211400 is a wasteful number, since it uses less digits than its factorization.

103242211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7459 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103242211400 its reverse (4112242301), we get a palindrome (107354453701).

The spelling of 103242211400 in words is "one hundred three billion, two hundred forty-two million, two hundred eleven thousand, four hundred".