105675936 has 48 divisors (see below), whose sum is σ = 279972000. Its totient is φ = 34898688.

The previous prime is 105675917. The next prime is 105675937. The reversal of 105675936 is 639576501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105675936² = 22334806898952192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105675937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5415 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (5832750).

Almost surely, 2^105675936 is an apocalyptic number.

105675936 is a gapful number since it is divisible by the number (16) 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 105675936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139986000).

105675936 is an abundant number, since it is smaller than the sum of its proper divisors (174296064).

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

105675936 is a wasteful number, since it uses less digits than its factorization.

105675936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 105675936 is about 10279.8801549434. The cubic root of 105675936 is about 472.7795697208.

The spelling of 105675936 in words is "one hundred five million, six hundred seventy-five thousand, nine hundred thirty-six".