105357312 has 84 divisors (see below), whose sum is σ = 304559970. Its totient is φ = 35094528.

The previous prime is 105357311. The next prime is 105357359. The reversal of 105357312 is 213753501.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 1806336 = 10176^2 + 1344^2 .

It is a super-2 number, since 2×105357312² = 22200326383730688, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105357311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73014 + ... + 74442.

Almost surely, 2^105357312 is an apocalyptic number.

105357312 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 105357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152279985).

105357312 is an abundant number, since it is smaller than the sum of its proper divisors (199202658).

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

105357312 is an equidigital number, since it uses as much as digits as its factorization.

105357312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105357312 is about 10264.3709987510. The cubic root of 105357312 is about 472.3039314162.

The spelling of 105357312 in words is "one hundred five million, three hundred fifty-seven thousand, three hundred twelve".