103250561744 has 160 divisors (see below), whose sum is σ = 229665300480. Its totient is φ = 44553600000.

The previous prime is 103250561741. The next prime is 103250561759. The reversal of 103250561744 is 447165052301.

103250561744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103250561698 and 103250561707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103250561741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40473269 + ... + 40475819.

It is an arithmetic number, because the mean of its divisors is an integer number (1435408128).

Almost surely, 2^103250561744 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 103250561744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114832650240).

103250561744 is an abundant number, since it is smaller than the sum of its proper divisors (126414738736).

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

103250561744 is a wasteful number, since it uses less digits than its factorization.

103250561744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 103250561744 in words is "one hundred three billion, two hundred fifty million, five hundred sixty-one thousand, seven hundred forty-four".