105314010 has 32 divisors (see below), whose sum is σ = 263744640. Its totient is φ = 26862528.

The previous prime is 105314003. The next prime is 105314039. The reversal of 105314010 is 10413501.

It is a super-2 number, since 2×105314010² = 22182081404560200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75625 + ... + 77004.

It is an arithmetic number, because the mean of its divisors is an integer number (8242020).

Almost surely, 2^105314010 is an apocalyptic number.

105314010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105314010 is an abundant number, since it is smaller than the sum of its proper divisors (158430630).

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

105314010 is a wasteful number, since it uses less digits than its factorization.

105314010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152662.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105314010 is about 10262.2614466793. The cubic root of 105314010 is about 472.2392166946.

Adding to 105314010 its reverse (10413501), we get a palindrome (115727511).

It can be divided in two parts, 10531 and 4010, that added together give a palindrome (14541).

The spelling of 105314010 in words is "one hundred five million, three hundred fourteen thousand, ten".