105141150 has 72 divisors (see below), whose sum is σ = 291630144. Its totient is φ = 27129600.

The previous prime is 105141143. The next prime is 105141151. The reversal of 105141150 is 51141501.

It is a happy number.

105141150 is a `hidden beast` number, since 1 + 0 + 514 + 1 + 150 = 666.

It is a super-2 number, since 2×105141150² = 22109322846645000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141151) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10182 + ... + 17718.

Almost surely, 2^105141150 is an apocalyptic number.

105141150 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 105141150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145815072).

105141150 is an abundant number, since it is smaller than the sum of its proper divisors (186488994).

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

105141150 is a wasteful number, since it uses less digits than its factorization.

105141150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 105141150 is about 10253.8358676156. The cubic root of 105141150 is about 471.9807009968.

Adding to 105141150 its reverse (51141501), we get a palindrome (156282651).

It can be divided in two parts, 10514 and 1150, that added together give a square (11664 = 108²).

The spelling of 105141150 in words is "one hundred five million, one hundred forty-one thousand, one hundred fifty".