10461312 has 80 divisors (see below), whose sum is σ = 31163550. Its totient is φ = 3483648.

The previous prime is 10461301. The next prime is 10461331. The reversal of 10461312 is 21316401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 876096 = 3096^2 + 936^2 .

It is a super-2 number, since 2×10461312² = 218878097522688, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 9864 + ... + 10872.

Almost surely, 2^10461312 is an apocalyptic number.

10461312 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 10461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581775).

10461312 is an abundant number, since it is smaller than the sum of its proper divisors (20702238).

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

10461312 is an equidigital number, since it uses as much as digits as its factorization.

10461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

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

The square root of 10461312 is about 3234.3951521111. The cubic root of 10461312 is about 218.7066818170.

Adding to 10461312 its reverse (21316401), we get a palindrome (31777713).

It can be divided in two parts, 104 and 61312, that added together give a palindrome (61416).

The spelling of 10461312 in words is "ten million, four hundred sixty-one thousand, three hundred twelve".