105430752 has 216 divisors, whose sum is σ = 361513152. Its totient is φ = 29030400.

The previous prime is 105430751. The next prime is 105430763. The reversal of 105430752 is 257034501.

It is a happy number.

It is a super-2 number, since 2×105430752² = 22231286934571008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105430751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437352 + ... + 437592.

It is an arithmetic number, because the mean of its divisors is an integer number (1673672).

Almost surely, 2^105430752 is an apocalyptic number.

105430752 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 105430752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756576).

105430752 is an abundant number, since it is smaller than the sum of its proper divisors (256082400).

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

105430752 is a wasteful number, since it uses less digits than its factorization.

105430752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105430752 is about 10267.9477988545. The cubic root of 105430752 is about 472.4136467706.

The spelling of 105430752 in words is "one hundred five million, four hundred thirty thousand, seven hundred fifty-two".