105006162 has 16 divisors (see below), whose sum is σ = 211976352. Its totient is φ = 34674720.

The previous prime is 105006157. The next prime is 105006163. The reversal of 105006162 is 261600501.

It is a happy number.

It is a super-2 number, since 2×105006162² = 22052588115940488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105006163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81139 + ... + 82422.

It is an arithmetic number, because the mean of its divisors is an integer number (13248522).

Almost surely, 2^105006162 is an apocalyptic number.

105006162 is an abundant number, since it is smaller than the sum of its proper divisors (106970190).

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

105006162 is a wasteful number, since it uses less digits than its factorization.

105006162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163673.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105006162 is about 10247.2514363609. The cubic root of 105006162 is about 471.7786265592.

Adding to 105006162 its reverse (261600501), we get a palindrome (366606663).

It can be divided in two parts, 10500 and 6162, that multiplied together give a triangular number (64701000 = T₁₁₃₇₅).

The spelling of 105006162 in words is "one hundred five million, six thousand, one hundred sixty-two".