10127742254 has 64 divisors (see below), whose sum is σ = 18489753600. Its totient is φ = 4064110848.

The previous prime is 10127742199. The next prime is 10127742259. The reversal of 10127742254 is 45224772101.

10127742254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127742259) 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 31 ways as a sum of consecutive naturals, for example, 13816472 + ... + 13817204.

It is an arithmetic number, because the mean of its divisors is an integer number (288902400).

Almost surely, 2^10127742254 is an apocalyptic number.

10127742254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10127742254 is a deficient number, since it is larger than the sum of its proper divisors (8362011346).

10127742254 is a wasteful number, since it uses less digits than its factorization.

10127742254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 31360, while the sum is 35.

The spelling of 10127742254 in words is "ten billion, one hundred twenty-seven million, seven hundred forty-two thousand, two hundred fifty-four".