10742282145 has 96 divisors (see below), whose sum is σ = 22052659200. Its totient is φ = 4735366272.

The previous prime is 10742282137. The next prime is 10742282191. The reversal of 10742282145 is 54128224701.

10742282145 is a `hidden beast` number, since 10 + 7 + 422 + 8 + 214 + 5 = 666.

It is not a de Polignac number, because 10742282145 - 2³ = 10742282137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1065036 + ... + 1075074.

It is an arithmetic number, because the mean of its divisors is an integer number (229715200).

Almost surely, 2^10742282145 is an apocalyptic number.

10742282145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10742282145 is an abundant number, since it is smaller than the sum of its proper divisors (11310377055).

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

10742282145 is a wasteful number, since it uses less digits than its factorization.

10742282145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10742282145 in words is "ten billion, seven hundred forty-two million, two hundred eighty-two thousand, one hundred forty-five".