105150084 has 48 divisors (see below), whose sum is σ = 265681920. Its totient is φ = 32175360.

The previous prime is 105150079. The next prime is 105150091. The reversal of 105150084 is 480051501.

It is a super-2 number, since 2×105150084² = 22113080330414112, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 28032 + ... + 31560.

It is an arithmetic number, because the mean of its divisors is an integer number (5535040).

Almost surely, 2^105150084 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 105150084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132840960).

105150084 is an abundant number, since it is smaller than the sum of its proper divisors (160531836).

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

105150084 is a wasteful number, since it uses less digits than its factorization.

105150084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 105150084 is about 10254.2715002091. The cubic root of 105150084 is about 471.9940689191.

The spelling of 105150084 in words is "one hundred five million, one hundred fifty thousand, eighty-four".