101810 has 8 divisors (see below), whose sum is σ = 183276. Its totient is φ = 40720.

The previous prime is 101807. The next prime is 101833. The reversal of 101810 is 18101.

It can be written as a sum of positive squares in 2 ways, for example, as 101761 + 49 = 319^2 + 7^2 .

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

It is a super-2 number, since 2×101810² = 20730552200, which contains 22 as substring.

It is an Ulam number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101791 and 101800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101810.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5081 + ... + 5100.

2¹⁰¹⁸¹⁰ is an apocalyptic number.

101810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101810 is a deficient number, since it is larger than the sum of its proper divisors (81466).

101810 is a wasteful number, since it uses less digits than its factorization.

101810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 101810 is about 319.0767932646. The cubic root of 101810 is about 46.6942580600.

Adding to 101810 its reverse (18101), we get a palindrome (119911).

It can be divided in two parts, 101 and 810, that multiplied together give a triangular number (81810 = T₄₀₄).

The spelling of 101810 in words is "one hundred one thousand, eight hundred ten".