100041264 has 80 divisors (see below), whose sum is σ = 288394240. Its totient is φ = 33203520.

The previous prime is 100041187. The next prime is 100041299. The reversal of 100041264 is 462140001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 158229 + ... + 158859.

It is an arithmetic number, because the mean of its divisors is an integer number (3604928).

Almost surely, 2^100041264 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 100041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144197120).

100041264 is an abundant number, since it is smaller than the sum of its proper divisors (188352976).

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

100041264 is a wasteful number, since it uses less digits than its factorization.

100041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100041264 is about 10002.0629872042. The cubic root of 100041264 is about 464.2227180890. Note that the first 3 decimals are identical.

Adding to 100041264 its reverse (462140001), we get a palindrome (562181265).

The spelling of 100041264 in words is "one hundred million, forty-one thousand, two hundred sixty-four".