105987150 has 48 divisors (see below), whose sum is σ = 292057200. Its totient is φ = 28262880.

The previous prime is 105987143. The next prime is 105987181. The reversal of 105987150 is 51789501.

105987150 is a `hidden beast` number, since 10 + 598 + 7 + 1 + 50 = 666.

It is a super-2 number, since 2×105987150² = 22466551930245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37905 + ... + 40604.

It is an arithmetic number, because the mean of its divisors is an integer number (6084525).

Almost surely, 2^105987150 is an apocalyptic number.

105987150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105987150 is an abundant number, since it is smaller than the sum of its proper divisors (186070050).

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

105987150 is a wasteful number, since it uses less digits than its factorization.

105987150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78530 (or 78519 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 105987150 is about 10295.0060709064. The cubic root of 105987150 is about 473.2432243775.

It can be divided in two parts, 1059 and 87150, that added together give a square (88209 = 297²).

The spelling of 105987150 in words is "one hundred five million, nine hundred eighty-seven thousand, one hundred fifty".