105514128 has 60 divisors (see below), whose sum is σ = 298647180. Its totient is φ = 34771968.

The previous prime is 105514109. The next prime is 105514139. The reversal of 105514128 is 821415501.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 85155984 = 4512^2 + 9228^2 .

It is a super-2 number, since 2×105514128² = 22266462415200768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8700 + ... + 16932.

It is an arithmetic number, because the mean of its divisors is an integer number (4977453).

Almost surely, 2^105514128 is an apocalyptic number.

105514128 is a gapful number since it is divisible by the number (18) 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 105514128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149323590).

105514128 is an abundant number, since it is smaller than the sum of its proper divisors (193133052).

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

105514128 is a wasteful number, since it uses less digits than its factorization.

105514128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105514128 is about 10272.0070093434. The cubic root of 105514128 is about 472.5381442289.

Adding to 105514128 its reverse (821415501), we get a palindrome (926929629).

The spelling of 105514128 in words is "one hundred five million, five hundred fourteen thousand, one hundred twenty-eight".