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101057 = 119187
BaseRepresentation
bin11000101011000001
312010121212
4120223001
511213212
62055505
7600425
oct305301
9163555
10101057
1169a20
124a595
1336cc8
1428b85
151ee22
hex18ac1

101057 has 4 divisors (see below), whose sum is σ = 110256. Its totient is φ = 91860.

The previous prime is 101051. The next prime is 101063. The reversal of 101057 is 750101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (101051) and next prime (101063).

It is a cyclic number.

It is not a de Polignac number, because 101057 - 28 = 100801 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101057.

It is not an unprimeable number, because it can be changed into a prime (101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4583 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (27564).

2101057 is an apocalyptic number.

It is an amenable number.

101057 is a deficient number, since it is larger than the sum of its proper divisors (9199).

101057 is an equidigital number, since it uses as much as digits as its factorization.

101057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 101057 is about 317.8946366330. The cubic root of 101057 is about 46.5788541415.

Adding to 101057 its reverse (750101), we get a palindrome (851158).

The spelling of 101057 in words is "one hundred one thousand, fifty-seven".

Divisors: 1 11 9187 101057