103451214042400 has 288 divisors, whose sum is σ = 290730760040448. Its totient is φ = 35211189888000.

The previous prime is 103451214042383. The next prime is 103451214042409. The reversal of 103451214042400 is 4240412154301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103451214042409) 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 47 ways as a sum of consecutive naturals, for example, 805938225 + ... + 806066575.

It is an arithmetic number, because the mean of its divisors is an integer number (1009481805696).

Almost surely, 2^{103451214042400} is an apocalyptic number.

103451214042400 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 103451214042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145365380020224).

103451214042400 is an abundant number, since it is smaller than the sum of its proper divisors (187279545998048).

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

103451214042400 is a wasteful number, since it uses less digits than its factorization.

103451214042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129424 (or 129411 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 103451214042400 its reverse (4240412154301), we get a palindrome (107691626196701).

The spelling of 103451214042400 in words is "one hundred three trillion, four hundred fifty-one billion, two hundred fourteen million, forty-two thousand, four hundred".