10145035203642 has 24 divisors (see below), whose sum is σ = 22194316501344. Its totient is φ = 3348846571464.

The previous prime is 10145035203631. The next prime is 10145035203701. The reversal of 10145035203642 is 24630253054101.

10145035203642 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 3 + 5 + 2 + 0 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10145035203597 and 10145035203606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2735983908 + ... + 2735987615.

It is an arithmetic number, because the mean of its divisors is an integer number (924763187556).

Almost surely, 2^{10145035203642} is an apocalyptic number.

10145035203642 is an abundant number, since it is smaller than the sum of its proper divisors (12049281297702).

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

10145035203642 is a wasteful number, since it uses less digits than its factorization.

10145035203642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471971634 (or 5471971631 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10145035203642 its reverse (24630253054101), we get a palindrome (34775288257743).

The spelling of 10145035203642 in words is "ten trillion, one hundred forty-five billion, thirty-five million, two hundred three thousand, six hundred forty-two".