103110313114100 has 54 divisors (see below), whose sum is σ = 229960100303010. Its totient is φ = 40129419104640.

The previous prime is 103110313114099. The next prime is 103110313114111. The reversal of 103110313114100 is 1411313011301.

It can be written as a sum of positive squares in 9 ways, for example, as 78962124004 + 103031350990096 = 281002^2 + 10150436^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 376452995 + ... + 376726794.

Almost surely, 2^{103110313114100} is an apocalyptic number.

103110313114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103110313114100 is an abundant number, since it is smaller than the sum of its proper divisors (126849787188910).

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

103110313114100 is a wasteful number, since it uses less digits than its factorization.

103110313114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753179877 (or 753179833 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 103110313114100 its reverse (1411313011301), we get a palindrome (104521626125401).

The spelling of 103110313114100 in words is "one hundred three trillion, one hundred ten billion, three hundred thirteen million, one hundred fourteen thousand, one hundred".