105265650 has 96 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 23224320.

The previous prime is 105265619. The next prime is 105265709. The reversal of 105265650 is 56562501.

It is a super-2 number, since 2×105265650² = 22161714139845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28722 + ... + 32178.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^105265650 is an apocalyptic number.

105265650 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 105265650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

105265650 is an abundant number, since it is smaller than the sum of its proper divisors (203464590).

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

105265650 is a wasteful number, since it uses less digits than its factorization.

105265650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105265650 is about 10259.9049703201. The cubic root of 105265650 is about 472.1669218338.

The spelling of 105265650 in words is "one hundred five million, two hundred sixty-five thousand, six hundred fifty".