101745 has 48 divisors (see below), whose sum is σ = 224640. Its totient is φ = 41472.

The previous prime is 101741. The next prime is 101747. The reversal of 101745 is 547101.

It is not a de Polignac number, because 101745 - 2² = 101741 is a prime.

101745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (101741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5346 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2¹⁰¹⁷⁴⁵ is an apocalyptic number.

101745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101745 is an abundant number, since it is smaller than the sum of its proper divisors (122895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101745 is a wasteful number, since it uses less digits than its factorization.

101745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101745 is about 318.9749206442. The cubic root of 101745 is about 46.6843187189.

Adding to 101745 its reverse (547101), we get a palindrome (648846).

The spelling of 101745 in words is "one hundred one thousand, seven hundred forty-five".