100138248 has 128 divisors (see below), whose sum is σ = 321484800. Its totient is φ = 28289088.

The previous prime is 100138237. The next prime is 100138309. The reversal of 100138248 is 842831001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155415 + ... + 156057.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 2^100138248 is an apocalyptic number.

100138248 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 100138248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160742400).

100138248 is an abundant number, since it is smaller than the sum of its proper divisors (221346552).

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

100138248 is a wasteful number, since it uses less digits than its factorization.

100138248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100138248 is about 10006.9100125863. The cubic root of 100138248 is about 464.3726816586.

Adding to 100138248 its reverse (842831001), we get a palindrome (942969249).

The spelling of 100138248 in words is "one hundred million, one hundred thirty-eight thousand, two hundred forty-eight".