10142400 has 84 divisors (see below), whose sum is σ = 33291272. Its totient is φ = 2703360.

The previous prime is 10142399. The next prime is 10142441. The reversal of 10142400 is 424101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3744 + ... + 5856.

Almost surely, 2^10142400 is an apocalyptic number.

10142400 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 10142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645636).

10142400 is an abundant number, since it is smaller than the sum of its proper divisors (23148872).

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

10142400 is a wasteful number, since it uses less digits than its factorization.

10142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10142400 is about 3184.7134878981. The cubic root of 10142400 is about 216.4612912535.

Adding to 10142400 its reverse (424101), we get a palindrome (10566501).

It can be divided in two parts, 1014 and 2400, that multiplied together give a square (2433600 = 1560²).

The spelling of 10142400 in words is "ten million, one hundred forty-two thousand, four hundred".