103514400000 has 648 divisors, whose sum is σ = 407272870368. Its totient is φ = 25075200000.

The previous prime is 103514399999. The next prime is 103514400049. The reversal of 103514400000 is 4415301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79199347 + ... + 79200653.

It is an arithmetic number, because the mean of its divisors is an integer number (628507516).

Almost surely, 2^103514400000 is an apocalyptic number.

103514400000 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 103514400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203636435184).

103514400000 is an abundant number, since it is smaller than the sum of its proper divisors (303758470368).

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

103514400000 is an equidigital number, since it uses as much as digits as its factorization.

103514400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 103514400000 its reverse (4415301), we get a palindrome (103518815301).

The spelling of 103514400000 in words is "one hundred three billion, five hundred fourteen million, four hundred thousand".