105960150 has 216 divisors, whose sum is σ = 329476680. Its totient is φ = 25194240.

The previous prime is 105960121. The next prime is 105960161. The reversal of 105960150 is 51069501.

105960150 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 601 + 50 = 666.

It is a super-2 number, since 2×105960150² = 22455106776045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 107 ways as a sum of consecutive naturals, for example, 5576841 + ... + 5576859.

It is an arithmetic number, because the mean of its divisors is an integer number (1525355).

Almost surely, 2^105960150 is an apocalyptic number.

105960150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105960150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164738340).

105960150 is an abundant number, since it is smaller than the sum of its proper divisors (223516530).

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

105960150 is an equidigital number, since it uses as much as digits as its factorization.

105960150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105960150 is about 10293.6946719825. The cubic root of 105960150 is about 473.2030350645.

The spelling of 105960150 in words is "one hundred five million, nine hundred sixty thousand, one hundred fifty".