105516150 has 24 divisors (see below), whose sum is σ = 261680424. Its totient is φ = 28137600.

The previous prime is 105516149. The next prime is 105516179. The reversal of 105516150 is 51615501.

It is a super-2 number, since 2×105516150² = 22267315821645000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105516150.

It is a congruent number.

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, 351571 + ... + 351870.

It is an arithmetic number, because the mean of its divisors is an integer number (10903351).

Almost surely, 2^105516150 is an apocalyptic number.

105516150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105516150 is an abundant number, since it is smaller than the sum of its proper divisors (156164274).

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

105516150 is a wasteful number, since it uses less digits than its factorization.

105516150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703456 (or 703451 counting only the distinct ones).

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

The square root of 105516150 is about 10272.1054317019. The cubic root of 105516150 is about 472.5411626747.

It can be divided in two parts, 1055 and 16150, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 105516150 in words is "one hundred five million, five hundred sixteen thousand, one hundred fifty".