103000002414100 has 144 divisors (see below), whose sum is σ = 247618954497600. Its totient is φ = 36876530560000.

The previous prime is 103000002414097. The next prime is 103000002414107. The reversal of 103000002414100 is 1414200000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000002414107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17297256 + ... + 22476544.

It is an arithmetic number, because the mean of its divisors is an integer number (1719576072900).

Almost surely, 2^{103000002414100} is an apocalyptic number.

103000002414100 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 103000002414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123809477248800).

103000002414100 is an abundant number, since it is smaller than the sum of its proper divisors (144618952083500).

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

103000002414100 is a wasteful number, since it uses less digits than its factorization.

103000002414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179594 (or 5179587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103000002414100 its reverse (1414200000301), we get a palindrome (104414202414401).

The spelling of 103000002414100 in words is "one hundred three trillion, two million, four hundred fourteen thousand, one hundred".