105120016 has 10 divisors (see below), whose sum is σ = 203670062. Its totient is φ = 52560000.

The previous prime is 105120013. The next prime is 105120107. The reversal of 105120016 is 610021501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67174416 + 37945600 = 8196^2 + 6160^2 .

It is a super-2 number, since 2×105120016² = 22100435527680512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 6570001 = 105120016 / (1 + 0 + 5 + 1 + 2 + 0 + 0 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (105120011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3284985 + ... + 3285016.

Almost surely, 2^105120016 is an apocalyptic number.

105120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105120016 is a deficient number, since it is larger than the sum of its proper divisors (98550046).

105120016 is an equidigital number, since it uses as much as digits as its factorization.

105120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570009 (or 6570003 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105120016 is about 10252.8052746553. The cubic root of 105120016 is about 471.9490752298.

Adding to 105120016 its reverse (610021501), we get a palindrome (715141517).

The spelling of 105120016 in words is "one hundred five million, one hundred twenty thousand, sixteen".