105312270 has 96 divisors (see below), whose sum is σ = 303630336. Its totient is φ = 23284800.

The previous prime is 105312217. The next prime is 105312283. The reversal of 105312270 is 72213501.

It is a super-2 number, since 2×105312270² = 22181348425105800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 44415 + ... + 46725.

It is an arithmetic number, because the mean of its divisors is an integer number (3162816).

Almost surely, 2^105312270 is an apocalyptic number.

105312270 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 105312270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151815168).

105312270 is an abundant number, since it is smaller than the sum of its proper divisors (198318066).

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

105312270 is a wasteful number, since it uses less digits than its factorization.

105312270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105312270 is about 10262.1766696934. The cubic root of 105312270 is about 472.2366158986.

Adding to 105312270 its reverse (72213501), we get a palindrome (177525771).

The spelling of 105312270 in words is "one hundred five million, three hundred twelve thousand, two hundred seventy".