100641312 has 48 divisors (see below), whose sum is σ = 293539680. Its totient is φ = 33546816.

The previous prime is 100641287. The next prime is 100641323. The reversal of 100641312 is 213146001.

It is a happy number.

100641312 is a `hidden beast` number, since 10 + 0 + 641 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57378 + ... + 59105.

It is an arithmetic number, because the mean of its divisors is an integer number (6115410).

Almost surely, 2^100641312 is an apocalyptic number.

100641312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100641312 is an abundant number, since it is smaller than the sum of its proper divisors (192898368).

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

100641312 is a wasteful number, since it uses less digits than its factorization.

100641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116502 (or 116488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100641312 is about 10032.0143540567. The cubic root of 100641312 is about 465.1490053171.

Adding to 100641312 its reverse (213146001), we get a palindrome (313787313).

The spelling of 100641312 in words is "one hundred million, six hundred forty-one thousand, three hundred twelve".