103503319740 has 144 divisors (see below), whose sum is σ = 323189106240. Its totient is φ = 26792985600.

The previous prime is 103503319729. The next prime is 103503319763. The reversal of 103503319740 is 47913305301.

103503319740 is a `hidden beast` number, since 103 + 503 + 3 + 1 + 9 + 7 + 40 = 666.

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 = 103503319695 and 103503319704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2906040 + ... + 2941440.

Almost surely, 2^103503319740 is an apocalyptic number.

103503319740 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 103503319740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161594553120).

103503319740 is an abundant number, since it is smaller than the sum of its proper divisors (219685786500).

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

103503319740 is a wasteful number, since it uses less digits than its factorization.

103503319740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35892 (or 35887 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 103503319740 in words is "one hundred three billion, five hundred three million, three hundred nineteen thousand, seven hundred forty".