105267150 has 72 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 27918720.

The previous prime is 105267143. The next prime is 105267161. The reversal of 105267150 is 51762501.

It is a super-2 number, since 2×105267150² = 22162345738245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99826 + ... + 100874.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^105267150 is an apocalyptic number.

105267150 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 105267150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

105267150 is an abundant number, since it is smaller than the sum of its proper divisors (179089650).

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

105267150 is a wasteful number, since it uses less digits than its factorization.

105267150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105267150 is about 10259.9780701520. The cubic root of 105267150 is about 472.1691645630.

The spelling of 105267150 in words is "one hundred five million, two hundred sixty-seven thousand, one hundred fifty".