103434340104100 has 144 divisors (see below), whose sum is σ = 245865142530000. Its totient is φ = 37595009105920.

The previous prime is 103434340104047. The next prime is 103434340104211. The reversal of 103434340104100 is 1401043434301.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 82160918118756 + 21273421985344 = 9064266^2 + 4612312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998223894 + ... + 998327506.

It is an arithmetic number, because the mean of its divisors is an integer number (1707396823125).

Almost surely, 2^{103434340104100} is an apocalyptic number.

103434340104100 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 103434340104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122932571265000).

103434340104100 is an abundant number, since it is smaller than the sum of its proper divisors (142430802425900).

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

103434340104100 is a wasteful number, since it uses less digits than its factorization.

103434340104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123922 (or 123915 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 103434340104100 its reverse (1401043434301), we get a palindrome (104835383538401).

The spelling of 103434340104100 in words is "one hundred three trillion, four hundred thirty-four billion, three hundred forty million, one hundred four thousand, one hundred".