100312 has 8 divisors (see below), whose sum is σ = 188100. Its totient is φ = 50152.

The previous prime is 100297. The next prime is 100313. The reversal of 100312 is 213001.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 100295 and 100304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313) by changing a digit.

100312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6262 + ... + 6277.

2¹⁰⁰³¹² is an apocalyptic number.

It is an amenable number.

100312 is a deficient number, since it is larger than the sum of its proper divisors (87788).

100312 is a wasteful number, since it uses less digits than its factorization.

100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12541 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100312 is about 316.7206971450. The cubic root of 100312 is about 46.4641107434.

Adding to 100312 its reverse (213001), we get a palindrome (313313).

The spelling of 100312 in words is "one hundred thousand, three hundred twelve", and thus it is an iban number.