101685010769 has 8 divisors (see below), whose sum is σ = 103383850440. Its totient is φ = 99994438656.

The previous prime is 101685010753. The next prime is 101685010793. The reversal of 101685010769 is 967010586101.

It can be written as a sum of positive squares in 4 ways, for example, as 5287180369 + 96397830400 = 72713^2 + 310480^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101685010769 - 2⁴ = 101685010753 is a prime.

It is a super-2 number, since 2×101685010769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101685010969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042084 + ... + 2091285.

It is an arithmetic number, because the mean of its divisors is an integer number (12922981305).

Almost surely, 2^101685010769 is an apocalyptic number.

It is an amenable number.

101685010769 is a deficient number, since it is larger than the sum of its proper divisors (1698839671).

101685010769 is an equidigital number, since it uses as much as digits as its factorization.

101685010769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133779.

The product of its (nonzero) digits is 90720, while the sum is 44.

The spelling of 101685010769 in words is "one hundred one billion, six hundred eighty-five million, ten thousand, seven hundred sixty-nine".