8342100 has 216 divisors, whose sum is σ = 30331392. Its totient is φ = 1900800.

The previous prime is 8342093. The next prime is 8342101. The reversal of 8342100 is 12438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269085 + ... + 269115.

Almost surely, 2^8342100 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 8342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165696).

8342100 is an abundant number, since it is smaller than the sum of its proper divisors (21989292).

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

8342100 is a wasteful number, since it uses less digits than its factorization.

8342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8342100 is about 2888.2693780186. The cubic root of 8342100 is about 202.8111357866.

Adding to 8342100 its reverse (12438), we get a palindrome (8354538).

The spelling of 8342100 in words is "eight million, three hundred forty-two thousand, one hundred".