105253290 has 128 divisors (see below), whose sum is σ = 310417920. Its totient is φ = 25242624.

The previous prime is 105253279. The next prime is 105253297. The reversal of 105253290 is 92352501.

It is a super-2 number, since 2×105253290² = 22156510111648200, 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 not an unprimeable number, because it can be changed into a prime (105253297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105072 + ... + 106068.

It is an arithmetic number, because the mean of its divisors is an integer number (2425140).

Almost surely, 2^105253290 is an apocalyptic number.

105253290 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 105253290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155208960).

105253290 is an abundant number, since it is smaller than the sum of its proper divisors (205164630).

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

105253290 is a wasteful number, since it uses less digits than its factorization.

105253290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1047 counting only the distinct ones).

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

The square root of 105253290 is about 10259.3026078774. The cubic root of 105253290 is about 472.1484409347.

The spelling of 105253290 in words is "one hundred five million, two hundred fifty-three thousand, two hundred ninety".