105753430 has 64 divisors (see below), whose sum is σ = 219672000. Its totient is φ = 36384768.

The previous prime is 105753409. The next prime is 105753491. The reversal of 105753430 is 34357501.

It is a super-2 number, since 2×105753430² = 22367575913529800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93106 + ... + 94234.

It is an arithmetic number, because the mean of its divisors is an integer number (3432375).

Almost surely, 2^105753430 is an apocalyptic number.

105753430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105753430 is an abundant number, since it is smaller than the sum of its proper divisors (113918570).

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

105753430 is a wasteful number, since it uses less digits than its factorization.

105753430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105753430 is about 10283.6486715562. The cubic root of 105753430 is about 472.8951073079.

The spelling of 105753430 in words is "one hundred five million, seven hundred fifty-three thousand, four hundred thirty".