105031312 has 10 divisors (see below), whose sum is σ = 203498198. Its totient is φ = 52515648.

The previous prime is 105031279. The next prime is 105031331. The reversal of 105031312 is 213130501.

It can be written as a sum of positive squares in only one way, i.e., 58736896 + 46294416 = 7664^2 + 6804^2 .

It is a super-2 number, since 2×105031312² = 22063153000882688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 6564457 = 105031312 / (1 + 0 + 5 + 0 + 3 + 1 + 3 + 1 + 2).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3282213 + ... + 3282244.

Almost surely, 2^105031312 is an apocalyptic number.

It is an amenable number.

105031312 is a deficient number, since it is larger than the sum of its proper divisors (98466886).

105031312 is an equidigital number, since it uses as much as digits as its factorization.

105031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564465 (or 6564459 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105031312 is about 10248.4785212245. The cubic root of 105031312 is about 471.8162887467.

Adding to 105031312 its reverse (213130501), we get a palindrome (318161813).

The spelling of 105031312 in words is "one hundred five million, thirty-one thousand, three hundred twelve".