105313100 has 36 divisors (see below), whose sum is σ = 234714144. Its totient is φ = 40985280.

The previous prime is 105313081. The next prime is 105313111. The reversal of 105313100 is 1313501.

It is a super-2 number, since 2×105313100² = 22181698063220000, which contains 22 as substring.

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, 10532 + ... + 17931.

Almost surely, 2^105313100 is an apocalyptic number.

105313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105313100 is an abundant number, since it is smaller than the sum of its proper divisors (129401044).

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

105313100 is a wasteful number, since it uses less digits than its factorization.

105313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28514 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 105313100 is about 10262.2171093775. The cubic root of 105313100 is about 472.2378565117.

Adding to 105313100 its reverse (1313501), we get a palindrome (106626601).

It can be divided in two parts, 10531 and 3100, that added together give a palindrome (13631).

The spelling of 105313100 in words is "one hundred five million, three hundred thirteen thousand, one hundred".