10742053120 has 72 divisors (see below), whose sum is σ = 26426111544. Its totient is φ = 4180672512.

The previous prime is 10742053111. The next prime is 10742053129. The reversal of 10742053120 is 2135024701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10742053111) and next prime (10742053129).

It can be written as a sum of positive squares in 4 ways, for example, as 1660725504 + 9081327616 = 40752^2 + 95296^2 .

It is not an unprimeable number, because it can be changed into a prime (10742053129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66049 + ... + 160768.

It is an arithmetic number, because the mean of its divisors is an integer number (367029327).

Almost surely, 2^10742053120 is an apocalyptic number.

10742053120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742053120 is an abundant number, since it is smaller than the sum of its proper divisors (15684058424).

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

10742053120 is an equidigital number, since it uses as much as digits as its factorization.

10742053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226875 (or 226861 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 10742053120 its reverse (2135024701), we get a palindrome (12877077821).

The spelling of 10742053120 in words is "ten billion, seven hundred forty-two million, fifty-three thousand, one hundred twenty".