103000014040 has 256 divisors, whose sum is σ = 303726827520. Its totient is φ = 30481059840.

The previous prime is 103000013989. The next prime is 103000014059. The reversal of 103000014040 is 40410000301.

It is a self number, because there is not a number n which added to its sum of digits gives 103000014040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9699774 + ... + 9710386.

It is an arithmetic number, because the mean of its divisors is an integer number (1186432920).

Almost surely, 2^103000014040 is an apocalyptic number.

103000014040 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 103000014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151863413760).

103000014040 is an abundant number, since it is smaller than the sum of its proper divisors (200726813480).

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

103000014040 is a wasteful number, since it uses less digits than its factorization.

103000014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 103000014040 its reverse (40410000301), we get a palindrome (143410014341).

The spelling of 103000014040 in words is "one hundred three billion, fourteen thousand, forty".