105310864 has 10 divisors (see below), whose sum is σ = 204039830. Its totient is φ = 52655424.

The previous prime is 105310847. The next prime is 105310867. The reversal of 105310864 is 468013501.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 43264 = 10260^2 + 208^2 .

It is a super-2 number, since 2×105310864² = 22180756152852992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105310867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3290949 + ... + 3290980.

It is an arithmetic number, because the mean of its divisors is an integer number (20403983).

Almost surely, 2^105310864 is an apocalyptic number.

It is an amenable number.

105310864 is a deficient number, since it is larger than the sum of its proper divisors (98728966).

105310864 is an equidigital number, since it uses as much as digits as its factorization.

105310864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581937 (or 6581931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105310864 is about 10262.1081654794. The cubic root of 105310864 is about 472.2345143149.

The spelling of 105310864 in words is "one hundred five million, three hundred ten thousand, eight hundred sixty-four".