105616900 has 18 divisors (see below), whose sum is σ = 229188890. Its totient is φ = 42246720.

The previous prime is 105616891. The next prime is 105616909. The reversal of 105616900 is 9616501.

It is an interprime number because it is at equal distance from previous prime (105616891) and next prime (105616909).

It can be written as a sum of positive squares in 3 ways, for example, as 16842816 + 88774084 = 4104^2 + 9422^2 .

It is a super-2 number, since 2×105616900² = 22309859131220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105616909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 527985 + ... + 528184.

Almost surely, 2^105616900 is an apocalyptic number.

105616900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105616900 is an abundant number, since it is smaller than the sum of its proper divisors (123571990).

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

105616900 is a wasteful number, since it uses less digits than its factorization.

105616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056183 (or 1056176 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105616900 is about 10277.0083195451. The cubic root of 105616900 is about 472.6915136794.

It can be divided in two parts, 1056 and 16900, that added together give a square (17956 = 134²).

The spelling of 105616900 in words is "one hundred five million, six hundred sixteen thousand, nine hundred".