105516331 has 8 divisors (see below), whose sum is σ = 111823200. Its totient is φ = 99220608.

The previous prime is 105516283. The next prime is 105516361. The reversal of 105516331 is 133615501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105516331 - 2²⁵ = 71961899 is a prime.

It is a super-2 number, since 2×105516331² = 22267392215403122, 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 = 105516296 and 105516305.

It is not an unprimeable number, because it can be changed into a prime (105516361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24330 + ... + 28336.

It is an arithmetic number, because the mean of its divisors is an integer number (13977900).

Almost surely, 2^105516331 is an apocalyptic number.

105516331 is a deficient number, since it is larger than the sum of its proper divisors (6306869).

105516331 is a wasteful number, since it uses less digits than its factorization.

105516331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 105516331 is about 10272.1142419660. The cubic root of 105516331 is about 472.5414328700.

The spelling of 105516331 in words is "one hundred five million, five hundred sixteen thousand, three hundred thirty-one".