100210240 has 168 divisors, whose sum is σ = 276103080. Its totient is φ = 34504704.

The previous prime is 100210193. The next prime is 100210247. The reversal of 100210240 is 42012001.

It can be written as a sum of positive squares in 12 ways, for example, as 32444416 + 67765824 = 5696^2 + 8232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100210247) 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, 919306 + ... + 919414.

Almost surely, 2^100210240 is an apocalyptic number.

100210240 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 100210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138051540).

100210240 is an abundant number, since it is smaller than the sum of its proper divisors (175892840).

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

100210240 is a wasteful number, since it uses less digits than its factorization.

100210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

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

The square root of 100210240 is about 10010.5064806932. The cubic root of 100210240 is about 464.4839382146.

Adding to 100210240 its reverse (42012001), we get a palindrome (142222241).

The spelling of 100210240 in words is "one hundred million, two hundred ten thousand, two hundred forty".