100201248 has 144 divisors (see below), whose sum is σ = 339970176. Its totient is φ = 27371520.

The previous prime is 100201237. The next prime is 100201249. The reversal of 100201248 is 842102001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100201248.

It is not an unprimeable number, because it can be changed into a prime (100201249) 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, 45288 + ... + 47448.

It is an arithmetic number, because the mean of its divisors is an integer number (2360904).

Almost surely, 2^100201248 is an apocalyptic number.

100201248 is a gapful number since it is divisible by the number (18) 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 100201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169985088).

100201248 is an abundant number, since it is smaller than the sum of its proper divisors (239768928).

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

100201248 is a wasteful number, since it uses less digits than its factorization.

100201248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100201248 is about 10010.0573424931. The cubic root of 100201248 is about 464.4700448756.

Adding to 100201248 its reverse (842102001), we get a palindrome (942303249).

The spelling of 100201248 in words is "one hundred million, two hundred one thousand, two hundred forty-eight".