10343010400 has 72 divisors (see below), whose sum is σ = 25533756360. Its totient is φ = 4090690560.

The previous prime is 10343010383. The next prime is 10343010401. The reversal of 10343010400 is 401034301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343010401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1434 + ... + 143833.

It is an arithmetic number, because the mean of its divisors is an integer number (354635505).

Almost surely, 2^10343010400 is an apocalyptic number.

10343010400 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 10343010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766878180).

10343010400 is an abundant number, since it is smaller than the sum of its proper divisors (15190745960).

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

10343010400 is a wasteful number, since it uses less digits than its factorization.

10343010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145376 (or 145363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10343010400 its reverse (401034301), we get a palindrome (10744044701).

The spelling of 10343010400 in words is "ten billion, three hundred forty-three million, ten thousand, four hundred".