103124410230400 has 384 divisors, whose sum is σ = 285357760934400. Its totient is φ = 36567078912000.

The previous prime is 103124410230371. The next prime is 103124410230461. The reversal of 103124410230400 is 4032014421301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 168632386 + ... + 169242814.

It is an arithmetic number, because the mean of its divisors is an integer number (743119169100).

Almost surely, 2^{103124410230400} is an apocalyptic number.

103124410230400 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 103124410230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142678880467200).

103124410230400 is an abundant number, since it is smaller than the sum of its proper divisors (182233350704000).

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

103124410230400 is a wasteful number, since it uses less digits than its factorization.

103124410230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610628 (or 610611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 103124410230400 its reverse (4032014421301), we get a palindrome (107156424651701).

The spelling of 103124410230400 in words is "one hundred three trillion, one hundred twenty-four billion, four hundred ten million, two hundred thirty thousand, four hundred".