8420100 has 144 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 1935360.

The previous prime is 8420051. The next prime is 8420119. The reversal of 8420100 is 10248.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8420100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66237 + ... + 66363.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 2^8420100 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 8420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

8420100 is an abundant number, since it is smaller than the sum of its proper divisors (19578108).

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

8420100 is a wasteful number, since it uses less digits than its factorization.

8420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8420100 is about 2901.7408567961. The cubic root of 8420100 is about 203.4412816280.

Adding to 8420100 its reverse (10248), we get a palindrome (8430348).

The spelling of 8420100 in words is "eight million, four hundred twenty thousand, one hundred".