105533250 has 64 divisors (see below), whose sum is σ = 270601344. Its totient is φ = 27374400.

The previous prime is 105533249. The next prime is 105533251. The reversal of 105533250 is 52335501.

It is an interprime number because it is at equal distance from previous prime (105533249) and next prime (105533251).

It is a super-2 number, since 2×105533250² = 22274533711125000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105533250.

It is not an unprimeable number, because it can be changed into a prime (105533251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25849 + ... + 29651.

It is an arithmetic number, because the mean of its divisors is an integer number (4228146).

Almost surely, 2^105533250 is an apocalyptic number.

105533250 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 105533250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135300672).

105533250 is an abundant number, since it is smaller than the sum of its proper divisors (165068094).

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

105533250 is a wasteful number, since it uses less digits than its factorization.

105533250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 105533250 is about 10272.9377492517. The cubic root of 105533250 is about 472.5666880482.

Adding to 105533250 its reverse (52335501), we get a palindrome (157868751).

The spelling of 105533250 in words is "one hundred five million, five hundred thirty-three thousand, two hundred fifty".