1992100 has 36 divisors (see below), whose sum is σ = 4718448. Its totient is φ = 724000.

The previous prime is 1992079. The next prime is 1992101. The reversal of 1992100 is 12991.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1992101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195 + ... + 2005.

It is an arithmetic number, because the mean of its divisors is an integer number (131068).

2^1992100 is an apocalyptic number.

1992100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359224).

1992100 is an abundant number, since it is smaller than the sum of its proper divisors (2726348).

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

1992100 is a wasteful number, since it uses less digits than its factorization.

1992100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1992100 is about 1411.4177269682. The cubic root of 1992100 is about 125.8259964827.

The spelling of 1992100 in words is "one million, nine hundred ninety-two thousand, one hundred".