105605046 has 40 divisors (see below), whose sum is σ = 237942144. Its totient is φ = 35007120.

The previous prime is 105605023. The next prime is 105605051. The reversal of 105605046 is 640506501.

It is a happy number.

105605046 is a `hidden beast` number, since 10 + 5 + 605 + 0 + 46 = 666.

It is a super-2 number, since 2×105605046² = 22304851481324232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29236 + ... + 32648.

Almost surely, 2^105605046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105605046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118971072).

105605046 is an abundant number, since it is smaller than the sum of its proper divisors (132337098).

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

105605046 is a wasteful number, since it uses less digits than its factorization.

105605046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105605046 is about 10276.4315791037. The cubic root of 105605046 is about 472.6738287102.

The spelling of 105605046 in words is "one hundred five million, six hundred five thousand, forty-six".