10542420 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2408832.

The previous prime is 10542419. The next prime is 10542421. The reversal of 10542420 is 2424501.

It is an interprime number because it is at equal distance from previous prime (10542419) and next prime (10542421).

It is a super-2 number, since 2×10542420² = 222285238912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10542393 and 10542402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^10542420 is an apocalyptic number.

10542420 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 10542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

10542420 is an abundant number, since it is smaller than the sum of its proper divisors (26955180).

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

10542420 is a wasteful number, since it uses less digits than its factorization.

10542420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10542420 is about 3246.9092996263. The cubic root of 10542420 is about 219.2704483901.

Adding to 10542420 its reverse (2424501), we get a palindrome (12966921).

The spelling of 10542420 in words is "ten million, five hundred forty-two thousand, four hundred twenty".