92100 has 36 divisors (see below), whose sum is σ = 267344. Its totient is φ = 24480.

The previous prime is 92083. The next prime is 92107. The reversal of 92100 is 129.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (92107) by changing a digit.

92100 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 11 ways as a sum of consecutive naturals, for example, 147 + ... + 453.

2⁹²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133672).

92100 is an abundant number, since it is smaller than the sum of its proper divisors (175244).

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

92100 is a wasteful number, since it uses less digits than its factorization.

92100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 92100 is about 303.4798181099. The cubic root of 92100 is about 45.1599247996.

Adding to 92100 its reverse (129), we get a palindrome (92229).

The spelling of 92100 in words is "ninety-two thousand, one hundred".