105255150 has 192 divisors, whose sum is σ = 350977536. Its totient is φ = 20160000.

The previous prime is 105255149. The next prime is 105255167. The reversal of 105255150 is 51552501.

It is a super-2 number, since 2×105255150² = 22157293203045000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105255150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149800 + ... + 150500.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^105255150 is an apocalyptic number.

105255150 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 105255150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

105255150 is an abundant number, since it is smaller than the sum of its proper divisors (245722386).

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

105255150 is a wasteful number, since it uses less digits than its factorization.

105255150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 105255150 is about 10259.3932569134. The cubic root of 105255150 is about 472.1512221333.

It can be divided in two parts, 105 and 255150, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 105255150 in words is "one hundred five million, two hundred fifty-five thousand, one hundred fifty".