105768150 has 48 divisors (see below), whose sum is σ = 264752400. Its totient is φ = 27941760.

The previous prime is 105768127. The next prime is 105768199. The reversal of 105768150 is 51867501.

It is a super-2 number, since 2×105768150² = 22373803108845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13116 + ... + 19584.

It is an arithmetic number, because the mean of its divisors is an integer number (5515675).

Almost surely, 2^105768150 is an apocalyptic number.

105768150 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 105768150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132376200).

105768150 is an abundant number, since it is smaller than the sum of its proper divisors (158984250).

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

105768150 is a wasteful number, since it uses less digits than its factorization.

105768150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 105768150 is about 10284.3643459380. The cubic root of 105768150 is about 472.9170473150.

The spelling of 105768150 in words is "one hundred five million, seven hundred sixty-eight thousand, one hundred fifty".