100105650 has 72 divisors (see below), whose sum is σ = 270936900. Its totient is φ = 26497920.

The previous prime is 100105631. The next prime is 100105657. The reversal of 100105650 is 56501001.

100105650 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 5 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35319249 + 64786401 = 5943^2 + 8049^2 .

It is a super-2 number, since 2×100105650² = 20042282323845000, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66304 + ... + 67796.

Almost surely, 2^100105650 is an apocalyptic number.

100105650 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 100105650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135468450).

100105650 is an abundant number, since it is smaller than the sum of its proper divisors (170831250).

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

100105650 is a wasteful number, since it uses less digits than its factorization.

100105650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

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

The square root of 100105650 is about 10005.2811054962. The cubic root of 100105650 is about 464.3222871162.

Adding to 100105650 its reverse (56501001), we get a palindrome (156606651).

The spelling of 100105650 in words is "one hundred million, one hundred five thousand, six hundred fifty".