10051400 has 48 divisors (see below), whose sum is σ = 24189300. Its totient is φ = 3879680.

The previous prime is 10051367. The next prime is 10051411. The reversal of 10051400 is 415001.

10051400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3467044 + 6584356 = 1862^2 + 2566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4934 + ... + 6666.

Almost surely, 2^10051400 is an apocalyptic number.

10051400 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 10051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094650).

10051400 is an abundant number, since it is smaller than the sum of its proper divisors (14137900).

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

10051400 is a wasteful number, since it uses less digits than its factorization.

10051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10051400 is about 3170.3942972444. The cubic root of 10051400 is about 215.8119648432.

Adding to 10051400 its reverse (415001), we get a palindrome (10466401).

The spelling of 10051400 in words is "ten million, fifty-one thousand, four hundred".