10342400 has 78 divisors (see below), whose sum is σ = 25899942. Its totient is φ = 4096000.

The previous prime is 10342399. The next prime is 10342411. The reversal of 10342400 is 424301.

It can be written as a sum of positive squares in 3 ways, for example, as 2768896 + 7573504 = 1664^2 + 2752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102350 + ... + 102450.

Almost surely, 2^10342400 is an apocalyptic number.

10342400 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 10342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949971).

10342400 is an abundant number, since it is smaller than the sum of its proper divisors (15557542).

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

10342400 is an equidigital number, since it uses as much as digits as its factorization.

10342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10342400 is about 3215.9601987587. The cubic root of 10342400 is about 217.8748545255.

Adding to 10342400 its reverse (424301), we get a palindrome (10766701).

The spelling of 10342400 in words is "ten million, three hundred forty-two thousand, four hundred".