10251105123400 has 192 divisors, whose sum is σ = 25730952220800. Its totient is φ = 3786082560000.

The previous prime is 10251105123313. The next prime is 10251105123437. The reversal of 10251105123400 is 432150115201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30242860 + ... + 30579940.

It is an arithmetic number, because the mean of its divisors is an integer number (134015376150).

Almost surely, 2^{10251105123400} is an apocalyptic number.

10251105123400 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 10251105123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865476110400).

10251105123400 is an abundant number, since it is smaller than the sum of its proper divisors (15479847097400).

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

10251105123400 is a wasteful number, since it uses less digits than its factorization.

10251105123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337320 (or 337311 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 10251105123400 its reverse (432150115201), we get a palindrome (10683255238601).

The spelling of 10251105123400 in words is "ten trillion, two hundred fifty-one billion, one hundred five million, one hundred twenty-three thousand, four hundred".