100741264 has 40 divisors (see below), whose sum is σ = 215345592. Its totient is φ = 45358080.

The previous prime is 100741243. The next prime is 100741271. The reversal of 100741264 is 462147001.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 98803600 = 1392^2 + 9940^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2622 + ... + 14434.

Almost surely, 2^100741264 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 100741264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107672796).

100741264 is an abundant number, since it is smaller than the sum of its proper divisors (114604328).

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

100741264 is a wasteful number, since it uses less digits than its factorization.

100741264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 100741264 is about 10036.9947693520. The cubic root of 100741264 is about 465.3029420705.

Adding to 100741264 its reverse (462147001), we get a palindrome (562888265).

The spelling of 100741264 in words is "one hundred million, seven hundred forty-one thousand, two hundred sixty-four".