103009159440 has 480 divisors, whose sum is σ = 403310793600. Its totient is φ = 23284039680.

The previous prime is 103009159439. The next prime is 103009159459. The reversal of 103009159440 is 44951900301.

It is a happy number.

It is a super-2 number, since 2×103009159440² (a number of 23 digits) contains 22 as substring.

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 = 103009159395 and 103009159404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14672251 + ... + 14679269.

It is an arithmetic number, because the mean of its divisors is an integer number (840230820).

Almost surely, 2^103009159440 is an apocalyptic number.

103009159440 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 103009159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201655396800).

103009159440 is an abundant number, since it is smaller than the sum of its proper divisors (300301634160).

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

103009159440 is a wasteful number, since it uses less digits than its factorization.

103009159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 103009159440 in words is "one hundred three billion, nine million, one hundred fifty-nine thousand, four hundred forty".