105631650 has 144 divisors (see below), whose sum is σ = 298748736. Its totient is φ = 26732160.

The previous prime is 105631637. The next prime is 105631651. The reversal of 105631650 is 56136501.

It is a happy number.

105631650 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 1 + 650 = 666.

It is a super-2 number, since 2×105631650² = 22316090963445000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105631651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1025499 + ... + 1025601.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^105631650 is an apocalyptic number.

105631650 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 105631650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368).

105631650 is an abundant number, since it is smaller than the sum of its proper divisors (193117086).

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

105631650 is a wasteful number, since it uses less digits than its factorization.

105631650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105631650 is about 10277.7259157851. The cubic root of 105631650 is about 472.7135173400.

The spelling of 105631650 in words is "one hundred five million, six hundred thirty-one thousand, six hundred fifty".