10046315400 has 288 divisors, whose sum is σ = 34732152000. Its totient is φ = 2399936000.

The previous prime is 10046315381. The next prime is 10046315423. The reversal of 10046315400 is 451364001.

10046315400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5153626 + ... + 5155574.

It is an arithmetic number, because the mean of its divisors is an integer number (120597750).

Almost surely, 2^10046315400 is an apocalyptic number.

10046315400 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 10046315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076000).

10046315400 is an abundant number, since it is smaller than the sum of its proper divisors (24685836600).

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

10046315400 is a wasteful number, since it uses less digits than its factorization.

10046315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10046315400 its reverse (451364001), we get a palindrome (10497679401).

It can be divided in two parts, 100 and 46315400, that added together give a triangular number (46315500 = T₉₆₂₄).

The spelling of 10046315400 in words is "ten billion, forty-six million, three hundred fifteen thousand, four hundred".