105514000 has 40 divisors (see below), whose sum is σ = 255137688. Its totient is φ = 42204800.

The previous prime is 105513997. The next prime is 105514021. The reversal of 105514000 is 415501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 105513984 = 4^2 + 10272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105514000² = 22266408392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24379 + ... + 28378.

Almost surely, 2^105514000 is an apocalyptic number.

105514000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105514000 is an abundant number, since it is smaller than the sum of its proper divisors (149623688).

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

105514000 is an equidigital number, since it uses as much as digits as its factorization.

105514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52780 (or 52764 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105514000 is about 10272.0007788162. Note that the first 3 decimals coincide. The cubic root of 105514000 is about 472.5379531489.

Subtracting from 105514000 its sum of digits (16), we obtain a square (105513984 = 10272²).

Adding to 105514000 its reverse (415501), we get a palindrome (105929501).

The spelling of 105514000 in words is "one hundred five million, five hundred fourteen thousand".