101163067785 has 24 divisors (see below), whose sum is σ = 188837727624. Its totient is φ = 49803356160.

The previous prime is 101163067771. The next prime is 101163067813. The reversal of 101163067785 is 587760361101.

101163067785 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 630 + 6 + 7 + 7 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5733972729 + 95429095056 = 75723^2 + 308916^2 .

It is not a de Polignac number, because 101163067785 - 2⁶ = 101163067721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 101163067785.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86463576 + ... + 86464745.

It is an arithmetic number, because the mean of its divisors is an integer number (7868238651).

Almost surely, 2^101163067785 is an apocalyptic number.

101163067785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101163067785 is a deficient number, since it is larger than the sum of its proper divisors (87674659839).

101163067785 is a wasteful number, since it uses less digits than its factorization.

101163067785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172928345 (or 172928342 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 101163067785 in words is "one hundred one billion, one hundred sixty-three million, sixty-seven thousand, seven hundred eighty-five".