101850 has 48 divisors (see below), whose sum is σ = 291648. Its totient is φ = 23040.

The previous prime is 101839. The next prime is 101863. The reversal of 101850 is 58101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

It is a zygodrome in base 5.

It is an unprimeable number.

101850 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 23 ways as a sum of consecutive naturals, for example, 1002 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2¹⁰¹⁸⁵⁰ is an apocalyptic number.

101850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

101850 is an abundant number, since it is smaller than the sum of its proper divisors (189798).

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

101850 is a wasteful number, since it uses less digits than its factorization.

101850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 101850 is about 319.1394679447. The cubic root of 101850 is about 46.7003724749.

Adding to 101850 its reverse (58101), we get a palindrome (159951).

The spelling of 101850 in words is "one hundred one thousand, eight hundred fifty".