105650010 has 48 divisors (see below), whose sum is σ = 276476616. Its totient is φ = 27990144.

The previous prime is 105650009. The next prime is 105650023. The reversal of 105650010 is 10056501.

105650010 is a `hidden beast` number, since 1 + 0 + 5 + 650 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97476129 + 8173881 = 9873^2 + 2859^2 .

It is a super-2 number, since 2×105650010² = 22323849226000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10392 + ... + 17868.

Almost surely, 2^105650010 is an apocalyptic number.

105650010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105650010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138238308).

105650010 is an abundant number, since it is smaller than the sum of its proper divisors (170826606).

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

105650010 is a wasteful number, since it uses less digits than its factorization.

105650010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105650010 is about 10278.6190706729. The cubic root of 105650010 is about 472.7409034419.

The spelling of 105650010 in words is "one hundred five million, six hundred fifty thousand, ten".