105213115 has 16 divisors (see below), whose sum is σ = 146449152. Its totient is φ = 71067744.

The previous prime is 105213103. The next prime is 105213133. The reversal of 105213115 is 511312501.

It is a cyclic number.

It is not a de Polignac number, because 105213115 - 2¹⁹ = 104688827 is a prime.

It is a super-2 number, since 2×105213115² = 22139599136006450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105213092 and 105213101.

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, 20089 + ... + 24778.

It is an arithmetic number, because the mean of its divisors is an integer number (9153072).

Almost surely, 2^105213115 is an apocalyptic number.

105213115 is a deficient number, since it is larger than the sum of its proper divisors (41236037).

105213115 is an equidigital number, since it uses as much as digits as its factorization.

105213115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44946.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 105213115 is about 10257.3444419109. The cubic root of 105213115 is about 472.0883605402.

Adding to 105213115 its reverse (511312501), we get a palindrome (616525616).

It can be divided in two parts, 10 and 5213115, that added together give a palindrome (5213125).

The spelling of 105213115 in words is "one hundred five million, two hundred thirteen thousand, one hundred fifteen".