103351143705600 has 1584 divisors, whose sum is σ = 418334113617408. Its totient is φ = 22393942179840.

The previous prime is 103351143705587. The next prime is 103351143705611. The reversal of 103351143705600 is 6507341153301.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9780551517 + ... + 9780562083.

Almost surely, 2^{103351143705600} is an apocalyptic number.

103351143705600 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 103351143705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209167056808704).

103351143705600 is an abundant number, since it is smaller than the sum of its proper divisors (314982969911808).

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

103351143705600 is a wasteful number, since it uses less digits than its factorization.

103351143705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

Adding to 103351143705600 its reverse (6507341153301), we get a palindrome (109858484858901).

The spelling of 103351143705600 in words is "one hundred three trillion, three hundred fifty-one billion, one hundred forty-three million, seven hundred five thousand, six hundred".