105227760 has 160 divisors (see below), whose sum is σ = 371547648. Its totient is φ = 24386560.

The previous prime is 105227753. The next prime is 105227767. The reversal of 105227760 is 67722501.

It is an interprime number because it is at equal distance from previous prime (105227753) and next prime (105227767).

It is a super-2 number, since 2×105227760² = 22145762949235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105227767) 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 31 ways as a sum of consecutive naturals, for example, 59854 + ... + 61586.

Almost surely, 2^105227760 is an apocalyptic number.

105227760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185773824).

105227760 is an abundant number, since it is smaller than the sum of its proper divisors (266319888).

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

105227760 is a wasteful number, since it uses less digits than its factorization.

105227760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 105227760 is about 10258.0582957985. The cubic root of 105227760 is about 472.1102634284.

The spelling of 105227760 in words is "one hundred five million, two hundred twenty-seven thousand, seven hundred sixty".