105011516 has 24 divisors (see below), whose sum is σ = 194893776. Its totient is φ = 49337600.

The previous prime is 105011509. The next prime is 105011527. The reversal of 105011516 is 615110501.

It is a super-2 number, since 2×105011516² = 22054836985236512, which contains 22 as substring.

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, 80066 + ... + 81366.

It is an arithmetic number, because the mean of its divisors is an integer number (8120574).

Almost surely, 2^105011516 is an apocalyptic number.

It is an amenable number.

105011516 is a deficient number, since it is larger than the sum of its proper divisors (89882260).

105011516 is a wasteful number, since it uses less digits than its factorization.

105011516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 105011516 is about 10247.5126738150. The cubic root of 105011516 is about 471.7866446913.

The spelling of 105011516 in words is "one hundred five million, eleven thousand, five hundred sixteen".