100414248 has 64 divisors (see below), whose sum is σ = 280566720. Its totient is φ = 29683200.

The previous prime is 100414243. The next prime is 100414253. The reversal of 100414248 is 842414001.

It is an interprime number because it is at equal distance from previous prime (100414243) and next prime (100414253).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100414241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186 + ... + 15462.

It is an arithmetic number, because the mean of its divisors is an integer number (4383855).

Almost surely, 2^100414248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100414248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140283360).

100414248 is an abundant number, since it is smaller than the sum of its proper divisors (180152472).

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

100414248 is a wasteful number, since it uses less digits than its factorization.

100414248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 100414248 is about 10020.6909941381. The cubic root of 100414248 is about 464.7989233526.

Adding to 100414248 its reverse (842414001), we get a palindrome (942828249).

The spelling of 100414248 in words is "one hundred million, four hundred fourteen thousand, two hundred forty-eight".