103002310040 has 128 divisors (see below), whose sum is σ = 270787536000. Its totient is φ = 35247260160.

The previous prime is 103002310013. The next prime is 103002310043. The reversal of 103002310040 is 40013200301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 103002309997 and 103002310024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002310043) 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, 7415582 + ... + 7429458.

It is an arithmetic number, because the mean of its divisors is an integer number (2115527625).

Almost surely, 2^103002310040 is an apocalyptic number.

103002310040 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 103002310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135393768000).

103002310040 is an abundant number, since it is smaller than the sum of its proper divisors (167785225960).

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

103002310040 is a wasteful number, since it uses less digits than its factorization.

103002310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14450 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103002310040 its reverse (40013200301), we get a palindrome (143015510341).

The spelling of 103002310040 in words is "one hundred three billion, two million, three hundred ten thousand, forty".