101892 has 24 divisors (see below), whose sum is σ = 271936. Its totient is φ = 29088.

The previous prime is 101891. The next prime is 101917. The reversal of 101892 is 298101.

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 a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 690.

2¹⁰¹⁸⁹² is an apocalyptic number.

101892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101892 is an abundant number, since it is smaller than the sum of its proper divisors (170044).

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

101892 is a wasteful number, since it uses less digits than its factorization.

101892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101892 is about 319.2052631145. The cubic root of 101892 is about 46.7067908879.

Adding to 101892 its reverse (298101), we get a palindrome (399993).

The spelling of 101892 in words is "one hundred one thousand, eight hundred ninety-two".