10406312 has 48 divisors (see below), whose sum is σ = 23724960. Its totient is φ = 4190976.

The previous prime is 10406303. The next prime is 10406321. The reversal of 10406312 is 21360401.

10406312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10406303) and next prime (10406321).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15863 + ... + 16505.

It is an arithmetic number, because the mean of its divisors is an integer number (494270).

Almost surely, 2^10406312 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 10406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862480).

10406312 is an abundant number, since it is smaller than the sum of its proper divisors (13318648).

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

10406312 is a wasteful number, since it uses less digits than its factorization.

10406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10406312 is about 3225.8815849315. The cubic root of 10406312 is about 218.3227271166.

Adding to 10406312 its reverse (21360401), we get a palindrome (31766713).

The spelling of 10406312 in words is "ten million, four hundred six thousand, three hundred twelve".