10542400 has 84 divisors (see below), whose sum is σ = 28346400. Its totient is φ = 3827200.

The previous prime is 10542391. The next prime is 10542401. The reversal of 10542400 is 424501.

It is a super-2 number, since 2×10542400² = 222284395520000, which contains 22 as substring.

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 (10542401) 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, 17301 + ... + 17899.

Almost surely, 2^10542400 is an apocalyptic number.

10542400 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 10542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173200).

10542400 is an abundant number, since it is smaller than the sum of its proper divisors (17804000).

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

10542400 is a wasteful number, since it uses less digits than its factorization.

10542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 10542400 is about 3246.9062197729. The cubic root of 10542400 is about 219.2703097308.

Adding to 10542400 its reverse (424501), we get a palindrome (10966901).

The spelling of 10542400 in words is "ten million, five hundred forty-two thousand, four hundred".