100242500 has 60 divisors (see below), whose sum is σ = 221938332. Its totient is φ = 39600000.

The previous prime is 100242479. The next prime is 100242511. The reversal of 100242500 is 5242001.

It can be written as a sum of positive squares in 10 ways, for example, as 40551424 + 59691076 = 6368^2 + 7726^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 252302 + ... + 252698.

Almost surely, 2^100242500 is an apocalyptic number.

100242500 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 100242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110969166).

100242500 is an abundant number, since it is smaller than the sum of its proper divisors (121695832).

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

100242500 is a wasteful number, since it uses less digits than its factorization.

100242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 100242500 is about 10012.1176581181. The cubic root of 100242500 is about 464.5337755839.

Adding to 100242500 its reverse (5242001), we get a palindrome (105484501).

The spelling of 100242500 in words is "one hundred million, two hundred forty-two thousand, five hundred".