10145244042351 has 12 divisors (see below), whose sum is σ = 15986445157800. Its totient is φ = 6148632752880.

The previous prime is 10145244042331. The next prime is 10145244042391. The reversal of 10145244042351 is 15324044254101.

10145244042351 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 524 + 40 + 42 + 3 + 51 = 666.

It is not a de Polignac number, because 10145244042351 - 2¹⁸ = 10145243780207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145244042301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51238606176 + ... + 51238606373.

It is an arithmetic number, because the mean of its divisors is an integer number (1332203763150).

Almost surely, 2^{10145244042351} is an apocalyptic number.

10145244042351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10145244042351 is a deficient number, since it is larger than the sum of its proper divisors (5841201115449).

10145244042351 is a wasteful number, since it uses less digits than its factorization.

10145244042351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102477212566 (or 102477212563 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10145244042351 its reverse (15324044254101), we get a palindrome (25469288296452).

The spelling of 10145244042351 in words is "ten trillion, one hundred forty-five billion, two hundred forty-four million, forty-two thousand, three hundred fifty-one".