105045516 has 72 divisors (see below), whose sum is σ = 288812160. Its totient is φ = 32057856.

The previous prime is 105045503. The next prime is 105045527. The reversal of 105045516 is 615540501.

It is a happy number.

105045516 is a `hidden beast` number, since 105 + 0 + 4 + 551 + 6 = 666.

It is a super-2 number, since 2×105045516² = 22069120863412512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105045516.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20325 + ... + 24963.

It is an arithmetic number, because the mean of its divisors is an integer number (4011280).

Almost surely, 2^105045516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105045516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144406080).

105045516 is an abundant number, since it is smaller than the sum of its proper divisors (183766644).

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

105045516 is a wasteful number, since it uses less digits than its factorization.

105045516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105045516 is about 10249.1714787099. The cubic root of 105045516 is about 471.8375566155.

The spelling of 105045516 in words is "one hundred five million, forty-five thousand, five hundred sixteen".