100741248 has 96 divisors (see below), whose sum is σ = 292263660. Its totient is φ = 33306624.

The previous prime is 100741243. The next prime is 100741271. The reversal of 100741248 is 842147001.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 11778624 = 9432^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100741243) 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, 180586 + ... + 181142.

Almost surely, 2^100741248 is an apocalyptic number.

100741248 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 100741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146131830).

100741248 is an abundant number, since it is smaller than the sum of its proper divisors (191522412).

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

100741248 is a wasteful number, since it uses less digits than its factorization.

100741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 100741248 is about 10036.9939723007. The cubic root of 100741248 is about 465.3029174370.

Adding to 100741248 its reverse (842147001), we get a palindrome (942888249).

The spelling of 100741248 in words is "one hundred million, seven hundred forty-one thousand, two hundred forty-eight".