100242000 has 120 divisors (see below), whose sum is σ = 350174760. Its totient is φ = 26726400.

The previous prime is 100241993. The next prime is 100242019. The reversal of 100242000 is 242001.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 86044176 = 3768^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15216 + ... + 20784.

It is an arithmetic number, because the mean of its divisors is an integer number (2918123).

Almost surely, 2^100242000 is an apocalyptic number.

100242000 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 100242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175087380).

100242000 is an abundant number, since it is smaller than the sum of its proper divisors (249932760).

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

100242000 is a wasteful number, since it uses less digits than its factorization.

100242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100242000 is about 10012.0926883444. The cubic root of 100242000 is about 464.5330032326.

Adding to 100242000 its reverse (242001), we get a palindrome (100484001).

Subtracting from 100242000 its reverse (242001), we obtain a palindrome (99999999).

The spelling of 100242000 in words is "one hundred million, two hundred forty-two thousand".