10106643757 has 8 divisors (see below), whose sum is σ = 11551135232. Its totient is φ = 8662323600.

The previous prime is 10106643751. The next prime is 10106643793. The reversal of 10106643757 is 75734660101.

10106643757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10106643757 - 2¹⁹ = 10106119469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106643751) 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 7 ways as a sum of consecutive naturals, for example, 130207 + ... + 192787.

It is an arithmetic number, because the mean of its divisors is an integer number (1443891904).

Almost surely, 2^10106643757 is an apocalyptic number.

It is an amenable number.

10106643757 is a deficient number, since it is larger than the sum of its proper divisors (1444491475).

10106643757 is an equidigital number, since it uses as much as digits as its factorization.

10106643757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85659.

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 10106643757 in words is "ten billion, one hundred six million, six hundred forty-three thousand, seven hundred fifty-seven".