100041312 has 96 divisors (see below), whose sum is σ = 307528704. Its totient is φ = 27878400.

The previous prime is 100041307. The next prime is 100041323. The reversal of 100041312 is 213140001.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 25737 + ... + 29367.

It is an arithmetic number, because the mean of its divisors is an integer number (3203424).

Almost surely, 2^100041312 is an apocalyptic number.

100041312 is a gapful number since it is divisible by the number (12) 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 100041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153764352).

100041312 is an abundant number, since it is smaller than the sum of its proper divisors (207487392).

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

100041312 is a wasteful number, since it uses less digits than its factorization.

100041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100041312 is about 10002.0653867089. The cubic root of 100041312 is about 464.2227923340. Note that the first 3 decimals are identical.

Adding to 100041312 its reverse (213140001), we get a palindrome (313181313).

The spelling of 100041312 in words is "one hundred million, forty-one thousand, three hundred twelve".