105127146 has 48 divisors (see below), whose sum is σ = 244389600. Its totient is φ = 33829488.

The previous prime is 105127129. The next prime is 105127151. The reversal of 105127146 is 641721501.

It is a happy number.

105127146 is a `hidden beast` number, since 1 + 0 + 512 + 7 + 146 = 666.

It is a super-2 number, since 2×105127146² = 22103433652210632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10365 + ... + 17823.

It is an arithmetic number, because the mean of its divisors is an integer number (5091450).

Almost surely, 2^105127146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105127146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122194800).

105127146 is an abundant number, since it is smaller than the sum of its proper divisors (139262454).

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

105127146 is an equidigital number, since it uses as much as digits as its factorization.

105127146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105127146 is about 10253.1529784745. The cubic root of 105127146 is about 471.9597453221.

Adding to 105127146 its reverse (641721501), we get a palindrome (746848647).

The spelling of 105127146 in words is "one hundred five million, one hundred twenty-seven thousand, one hundred forty-six".