105105516 has 12 divisors (see below), whose sum is σ = 245246232. Its totient is φ = 35035168.

The previous prime is 105105499. The next prime is 105105551. The reversal of 105105516 is 615501501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105105516² = 22094338987252512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4379385 + ... + 4379408.

It is an arithmetic number, because the mean of its divisors is an integer number (20437186).

Almost surely, 2^105105516 is an apocalyptic number.

It is an amenable number.

105105516 is an abundant number, since it is smaller than the sum of its proper divisors (140140716).

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

105105516 is a wasteful number, since it uses less digits than its factorization.

105105516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758800 (or 8758798 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105105516 is about 10252.0981267251. The cubic root of 105105516 is about 471.9273743951.

The spelling of 105105516 in words is "one hundred five million, one hundred five thousand, five hundred sixteen".