100192 has 24 divisors (see below), whose sum is σ = 205632. Its totient is φ = 48000.

The previous prime is 100189. The next prime is 100193. The reversal of 100192 is 291001.

100192 is nontrivially palindromic in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 942 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2¹⁰⁰¹⁹² 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 100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

100192 is an abundant number, since it is smaller than the sum of its proper divisors (105440).

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

100192 is a wasteful number, since it uses less digits than its factorization.

100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100192 is about 316.5311990942. The cubic root of 100192 is about 46.4455755130.

Adding to 100192 its reverse (291001), we get a palindrome (391193).

It can be divided in two parts, 100 and 192, that added together give a palindrome (292).

The spelling of 100192 in words is "one hundred thousand, one hundred ninety-two".