100920248 has 64 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 40106880.

The previous prime is 100920227. The next prime is 100920301. The reversal of 100920248 is 842029001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19415 + ... + 24057.

It is an arithmetic number, because the mean of its divisors is an integer number (3657150).

Almost surely, 2^100920248 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 100920248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

100920248 is an abundant number, since it is smaller than the sum of its proper divisors (133137352).

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

100920248 is a wasteful number, since it uses less digits than its factorization.

100920248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 100920248 is about 10045.9070272425. The cubic root of 100920248 is about 465.5783423242.

Adding to 100920248 its reverse (842029001), we get a palindrome (942949249).

The spelling of 100920248 in words is "one hundred million, nine hundred twenty thousand, two hundred forty-eight".