105260352 has 56 divisors (see below), whose sum is σ = 279635712. Its totient is φ = 34944000.

The previous prime is 105260341. The next prime is 105260381. The reversal of 105260352 is 253062501.

It is a super-2 number, since 2×105260352² = 22159483406327808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52977 + ... + 54927.

Almost surely, 2^105260352 is an apocalyptic number.

105260352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139817856).

105260352 is an abundant number, since it is smaller than the sum of its proper divisors (174375360).

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

105260352 is a wasteful number, since it uses less digits than its factorization.

105260352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105260352 is about 10259.6467775455. The cubic root of 105260352 is about 472.1590003440.

The spelling of 105260352 in words is "one hundred five million, two hundred sixty thousand, three hundred fifty-two".