101856 has 24 divisors (see below), whose sum is σ = 267624. Its totient is φ = 33920.

The previous prime is 101839. The next prime is 101863. The reversal of 101856 is 658101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

101856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 435 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (11151).

2¹⁰¹⁸⁵⁶ is an apocalyptic number.

101856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101856 is an abundant number, since it is smaller than the sum of its proper divisors (165768).

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

101856 is a wasteful number, since it uses less digits than its factorization.

101856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101856 is about 319.1488680851. The cubic root of 101856 is about 46.7012894991.

Adding to 101856 its reverse (658101), we get a palindrome (759957).

The spelling of 101856 in words is "one hundred one thousand, eight hundred fifty-six".