105835136 has 32 divisors (see below), whose sum is σ = 230014080. Its totient is φ = 48106240.

The previous prime is 105835129. The next prime is 105835139. The reversal of 105835136 is 631538501.

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

It is a super-2 number, since 2×105835136² = 22402152024276992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105835139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36176 + ... + 38991.

It is an arithmetic number, because the mean of its divisors is an integer number (7187940).

Almost surely, 2^105835136 is an apocalyptic number.

105835136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105835136 is an abundant number, since it is smaller than the sum of its proper divisors (124178944).

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

105835136 is an equidigital number, since it uses as much as digits as its factorization.

105835136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75192 (or 75180 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105835136 is about 10287.6205217728. The cubic root of 105835136 is about 473.0168635514.

The spelling of 105835136 in words is "one hundred five million, eight hundred thirty-five thousand, one hundred thirty-six".