105616100 has 18 divisors (see below), whose sum is σ = 229187154. Its totient is φ = 42246400.

The previous prime is 105616051. The next prime is 105616109. The reversal of 105616100 is 1616501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3363556 + 102252544 = 1834^2 + 10112^2 .

It is a super-2 number, since 2×105616100² = 22309521158420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105616109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 527981 + ... + 528180.

Almost surely, 2^105616100 is an apocalyptic number.

105616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105616100 is an abundant number, since it is smaller than the sum of its proper divisors (123571054).

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

105616100 is a wasteful number, since it uses less digits than its factorization.

105616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056175 (or 1056168 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105616100 is about 10276.9693976386. The cubic root of 105616100 is about 472.6903202019.

It can be divided in two parts, 10561 and 6100, that added together give a palindrome (16661).

The spelling of 105616100 in words is "one hundred five million, six hundred sixteen thousand, one hundred".