105252516 has 36 divisors (see below), whose sum is σ = 266417424. Its totient is φ = 35036400.

The previous prime is 105252503. The next prime is 105252527. The reversal of 105252516 is 615252501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105252516² = 22156184248660512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105252516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33451 + ... + 36461.

It is an arithmetic number, because the mean of its divisors is an integer number (7400484).

Almost surely, 2^105252516 is an apocalyptic number.

It is an amenable number.

105252516 is an abundant number, since it is smaller than the sum of its proper divisors (161164908).

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

105252516 is a wasteful number, since it uses less digits than its factorization.

105252516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3987 counting only the distinct ones).

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

The square root of 105252516 is about 10259.2648859458. The cubic root of 105252516 is about 472.1472835875.

It can be divided in two parts, 10525 and 2516, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 105252516 in words is "one hundred five million, two hundred fifty-two thousand, five hundred sixteen".