1024100 has 108 divisors (see below), whose sum is σ = 2968560. Its totient is φ = 302400.

The previous prime is 1024099. The next prime is 1024103. The reversal of 1024100 is 14201.

It is not an unprimeable number, because it can be changed into a prime (1024103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53891 + ... + 53909.

2^1024100 is an apocalyptic number.

1024100 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 1024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484280).

1024100 is an abundant number, since it is smaller than the sum of its proper divisors (1944460).

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

1024100 is a wasteful number, since it uses less digits than its factorization.

1024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1024100 is about 1011.9782606361. The cubic root of 1024100 is about 100.7969649292.

Adding to 1024100 its reverse (14201), we get a palindrome (1038301).

The spelling of 1024100 in words is "one million, twenty-four thousand, one hundred".