105900315 has 32 divisors (see below), whose sum is σ = 176662080. Its totient is φ = 54104064.

The previous prime is 105900287. The next prime is 105900317. The reversal of 105900315 is 513009501.

It is not a de Polignac number, because 105900315 - 2¹³ = 105892123 is a prime.

It is a super-2 number, since 2×105900315² = 22429753434198450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105900317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58707 + ... + 60483.

It is an arithmetic number, because the mean of its divisors is an integer number (5520690).

Almost surely, 2^105900315 is an apocalyptic number.

105900315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105900315 is a deficient number, since it is larger than the sum of its proper divisors (70761765).

105900315 is a wasteful number, since it uses less digits than its factorization.

105900315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951.

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

The square root of 105900315 is about 10290.7878707123. The cubic root of 105900315 is about 473.1139467457.

Adding to 105900315 its reverse (513009501), we get a palindrome (618909816).

The spelling of 105900315 in words is "one hundred five million, nine hundred thousand, three hundred fifteen".