106265250 has 256 divisors, whose sum is σ = 364815360. Its totient is φ = 22291200.

The previous prime is 106265227. The next prime is 106265311. The reversal of 106265250 is 52562601.

106265250 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 652 + 5 + 0 = 666.

It is a super-2 number, since 2×106265250² = 22584606715125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 614164 + ... + 614336.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 2^106265250 is an apocalyptic number.

106265250 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 106265250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

106265250 is an abundant number, since it is smaller than the sum of its proper divisors (258550110).

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

106265250 is a wasteful number, since it uses less digits than its factorization.

106265250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106265250 is about 10308.5037711590. The cubic root of 106265250 is about 473.6567776511.

It can be divided in two parts, 10626 and 5250, that added together give a square (15876 = 126²).

The spelling of 106265250 in words is "one hundred six million, two hundred sixty-five thousand, two hundred fifty".