100120248 has 48 divisors (see below), whose sum is σ = 272984400. Its totient is φ = 33148800.

The previous prime is 100120247. The next prime is 100120271. The reversal of 100120248 is 842021001.

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 100120248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6268 + ... + 15476.

It is an arithmetic number, because the mean of its divisors is an integer number (5687175).

Almost surely, 2^100120248 is an apocalyptic number.

100120248 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 100120248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136492200).

100120248 is an abundant number, since it is smaller than the sum of its proper divisors (172864152).

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

100120248 is a wasteful number, since it uses less digits than its factorization.

100120248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9365 counting only the distinct ones).

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

The square root of 100120248 is about 10006.0105936382. The cubic root of 100120248 is about 464.3448560964.

Adding to 100120248 its reverse (842021001), we get a palindrome (942141249).

The spelling of 100120248 in words is "one hundred million, one hundred twenty thousand, two hundred forty-eight".