101690 has 8 divisors (see below), whose sum is σ = 183060. Its totient is φ = 40672.

The previous prime is 101681. The next prime is 101693. The reversal of 101690 is 96101.

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 3721 = 313^2 + 61^2 .

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

It is a super-2 number, since 2×101690² = 20681712200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5075 + ... + 5094.

2¹⁰¹⁶⁹⁰ is an apocalyptic number.

101690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101690 is a deficient number, since it is larger than the sum of its proper divisors (81370).

101690 is a wasteful number, since it uses less digits than its factorization.

101690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101690 is about 318.8886953155. Note that the first 3 decimals coincide. The cubic root of 101690 is about 46.6759052004.

Adding to 101690 its reverse (96101), we get a palindrome (197791).

It can be divided in two parts, 10 and 1690, that multiplied together give a square (16900 = 130²).

The spelling of 101690 in words is "one hundred one thousand, six hundred ninety".