103413144100 has 72 divisors (see below), whose sum is σ = 257141944640. Its totient is φ = 35362293120.

The previous prime is 103413144097. The next prime is 103413144101. The reversal of 103413144100 is 1441314301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103413144101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70402 + ... + 460198.

Almost surely, 2^103413144100 is an apocalyptic number.

103413144100 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 103413144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128570972320).

103413144100 is an abundant number, since it is smaller than the sum of its proper divisors (153728800540).

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

103413144100 is a wasteful number, since it uses less digits than its factorization.

103413144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390197 (or 390190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103413144100 its reverse (1441314301), we get a palindrome (104854458401).

The spelling of 103413144100 in words is "one hundred three billion, four hundred thirteen million, one hundred forty-four thousand, one hundred".