10742200 has 48 divisors (see below), whose sum is σ = 28547280. Its totient is φ = 3682560.

The previous prime is 10742197. The next prime is 10742203. The reversal of 10742200 is 224701.

It is an interprime number because it is at equal distance from previous prime (10742197) and next prime (10742203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2437 + ... + 5236.

It is an arithmetic number, because the mean of its divisors is an integer number (594735).

Almost surely, 2^10742200 is an apocalyptic number.

10742200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742200 is an abundant number, since it is smaller than the sum of its proper divisors (17805080).

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

10742200 is a wasteful number, since it uses less digits than its factorization.

10742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10742200 is about 3277.5295574563. The cubic root of 10742200 is about 220.6468565420.

Adding to 10742200 its reverse (224701), we get a palindrome (10966901).

The spelling of 10742200 in words is "ten million, seven hundred forty-two thousand, two hundred".