10242105431553 has 12 divisors (see below), whose sum is σ = 14857646508900. Its totient is φ = 6798765263616.

The previous prime is 10242105431531. The next prime is 10242105431573. The reversal of 10242105431553 is 35513450124201.

10242105431553 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 21 + 0 + 54 + 31 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7005301443009 + 3236803988544 = 2646753^2 + 1799112^2 .

It is not a de Polignac number, because 10242105431553 - 2²¹ = 10242103334401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10242105431573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2442083128 + ... + 2442087321.

It is an arithmetic number, because the mean of its divisors is an integer number (1238137209075).

Almost surely, 2^{10242105431553} is an apocalyptic number.

It is an amenable number.

10242105431553 is a deficient number, since it is larger than the sum of its proper divisors (4615541077347).

10242105431553 is a wasteful number, since it uses less digits than its factorization.

10242105431553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884170688 (or 4884170685 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10242105431553 its reverse (35513450124201), we get a palindrome (45755555555754).

The spelling of 10242105431553 in words is "ten trillion, two hundred forty-two billion, one hundred five million, four hundred thirty-one thousand, five hundred fifty-three".