103414212410100 has 144 divisors (see below), whose sum is σ = 316816988040000. Its totient is φ = 25954570373120.

The previous prime is 103414212410059. The next prime is 103414212410129. The reversal of 103414212410100 is 1014212414301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618796351 + ... + 618963449.

It is an arithmetic number, because the mean of its divisors is an integer number (2200117972500).

Almost surely, 2^{103414212410100} is an apocalyptic number.

103414212410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103414212410100 is an abundant number, since it is smaller than the sum of its proper divisors (213402775629900).

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

103414212410100 is a wasteful number, since it uses less digits than its factorization.

103414212410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288482 (or 288475 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 103414212410100 its reverse (1014212414301), we get a palindrome (104428424824401).

The spelling of 103414212410100 in words is "one hundred three trillion, four hundred fourteen billion, two hundred twelve million, four hundred ten thousand, one hundred".