103000839416640 has 1120 divisors, whose sum is σ = 411152062071168. Its totient is φ = 24256641024000.

The previous prime is 103000839416623. The next prime is 103000839416647. The reversal of 103000839416640 is 46614938000301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000839416647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6973172455 + ... + 6973187225.

Almost surely, 2^{103000839416640} is an apocalyptic number.

103000839416640 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 103000839416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205576031035584).

103000839416640 is an abundant number, since it is smaller than the sum of its proper divisors (308151222654528).

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

103000839416640 is a wasteful number, since it uses less digits than its factorization.

103000839416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15509 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 103000839416640 in words is "one hundred three trillion, eight hundred thirty-nine million, four hundred sixteen thousand, six hundred forty".