103417203744 has 144 divisors (see below), whose sum is σ = 296769432960. Its totient is φ = 34159795200.

The previous prime is 103417203727. The next prime is 103417203763. The reversal of 103417203744 is 447302714301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103417203699 and 103417203708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19088524 + ... + 19093940.

It is an arithmetic number, because the mean of its divisors is an integer number (2060898840).

Almost surely, 2^103417203744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103417203744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148384716480).

103417203744 is an abundant number, since it is smaller than the sum of its proper divisors (193352229216).

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

103417203744 is a wasteful number, since it uses less digits than its factorization.

103417203744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 103417203744 in words is "one hundred three billion, four hundred seventeen million, two hundred three thousand, seven hundred forty-four".