105103590 has 16 divisors (see below), whose sum is σ = 252248688. Its totient is φ = 28027616.

The previous prime is 105103589. The next prime is 105103601. The reversal of 105103590 is 95301501.

It is a super-2 number, since 2×105103590² = 22093529261776200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105103590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1751697 + ... + 1751756.

It is an arithmetic number, because the mean of its divisors is an integer number (15765543).

Almost surely, 2^105103590 is an apocalyptic number.

105103590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105103590 is an abundant number, since it is smaller than the sum of its proper divisors (147145098).

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

105103590 is a wasteful number, since it uses less digits than its factorization.

105103590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503463.

The product of its (nonzero) digits is 675, while the sum is 24.

The square root of 105103590 is about 10252.0041943027. The cubic root of 105103590 is about 471.9244917755.

Subtracting from 105103590 its reverse (95301501), we obtain a palindrome (9802089).

The spelling of 105103590 in words is "one hundred five million, one hundred three thousand, five hundred ninety".