105150564 has 36 divisors (see below), whose sum is σ = 266469840. Its totient is φ = 34961520.

The previous prime is 105150557. The next prime is 105150571. The reversal of 105150564 is 465051501.

It is a happy number.

105150564 is a `hidden beast` number, since 1 + 0 + 51 + 50 + 564 = 666.

105150564 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105150557) and next prime (105150571).

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

It is a super-2 number, since 2×105150564² = 22113282219036192, which contains 22 as substring.

105150564 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11599 + ... + 18569.

It is an arithmetic number, because the mean of its divisors is an integer number (7401940).

Almost surely, 2^105150564 is an apocalyptic number.

It is an amenable number.

105150564 is an abundant number, since it is smaller than the sum of its proper divisors (161319276).

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

105150564 is a wasteful number, since it uses less digits than its factorization.

105150564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7395 counting only the distinct ones).

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

The square root of 105150564 is about 10254.2949050630. The cubic root of 105150564 is about 471.9947871204.

It can be divided in two parts, 1051 and 50564, that added together give a palindrome (51615).

The spelling of 105150564 in words is "one hundred five million, one hundred fifty thousand, five hundred sixty-four".