105105536 has 32 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 51431680.

The previous prime is 105105499. The next prime is 105105551. The reversal of 105105536 is 635501501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105105536² = 22094347395694592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2720 + ... + 14751.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^105105536 is an apocalyptic number.

105105536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105105536 is an abundant number, since it is smaller than the sum of its proper divisors (108751744).

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

105105536 is an equidigital number, since it uses as much as digits as its factorization.

105105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17532 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 105105536 is about 10252.0991021351. The cubic root of 105105536 is about 471.9274043287.

The spelling of 105105536 in words is "one hundred five million, one hundred five thousand, five hundred thirty-six".