10542340100253 has 32 divisors (see below), whose sum is σ = 15295624993152. Its totient is φ = 6419987424000.

The previous prime is 10542340100197. The next prime is 10542340100287. The reversal of 10542340100253 is 35200104324501.

It is not a de Polignac number, because 10542340100253 - 2⁶ = 10542340100189 is a prime.

It is a super-2 number, since 2×10542340100253² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10542340100253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542340100053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6809943 + ... + 8213403.

It is an arithmetic number, because the mean of its divisors is an integer number (477988281036).

Almost surely, 2^{10542340100253} is an apocalyptic number.

10542340100253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10542340100253 is a deficient number, since it is larger than the sum of its proper divisors (4753284892899).

10542340100253 is a wasteful number, since it uses less digits than its factorization.

10542340100253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405485.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10542340100253 its reverse (35200104324501), we get a palindrome (45742444424754).

The spelling of 10542340100253 in words is "ten trillion, five hundred forty-two billion, three hundred forty million, one hundred thousand, two hundred fifty-three".