100242100 has 72 divisors (see below), whose sum is σ = 261719360. Its totient is φ = 32555520.

The previous prime is 100242083. The next prime is 100242101. The reversal of 100242100 is 1242001.

It is a super-2 number, since 2×100242100² = 20096957224820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9532 + ... + 17068.

Almost surely, 2^100242100 is an apocalyptic number.

100242100 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 100242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130859680).

100242100 is an abundant number, since it is smaller than the sum of its proper divisors (161477260).

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

100242100 is a wasteful number, since it uses less digits than its factorization.

100242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100242100 is about 10012.0976823041. The cubic root of 100242100 is about 464.5331577031.

Adding to 100242100 its reverse (1242001), we get a palindrome (101484101).

Subtracting from 100242100 its reverse (1242001), we obtain a palindrome (99000099).

The spelling of 100242100 in words is "one hundred million, two hundred forty-two thousand, one hundred".