105103046416 has 15 divisors (see below), whose sum is σ = 203639664981. Its totient is φ = 52550874816.

The previous prime is 105103046413. The next prime is 105103046429. The reversal of 105103046416 is 614640301501.

The square root of 105103046416 is 324196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11320108816 + 93782937600 = 106396^2 + 306240^2 .

It is a super-2 number, since 2×105103046416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105103046413) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1256260 + ... + 1337308.

Almost surely, 2^105103046416 is an apocalyptic number.

105103046416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105103046416 is the 324196-th square number.

It is an amenable number.

105103046416 is a deficient number, since it is larger than the sum of its proper divisors (98536618565).

105103046416 is an frugal number, since it uses more digits than its factorization.

105103046416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162106 (or 81051 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 105103046416 its reverse (614640301501), we get a palindrome (719743347917).

The spelling of 105103046416 in words is "one hundred five billion, one hundred three million, forty-six thousand, four hundred sixteen".