105436080 has 200 divisors, whose sum is σ = 374319792. Its totient is φ = 27495936.

The previous prime is 105436063. The next prime is 105436081. The reversal of 105436080 is 80634501.

105436080 is a `hidden beast` number, since 1 + 0 + 54 + 3 + 608 + 0 = 666.

It is a super-2 number, since 2×105436080² = 22233533931532800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105436081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343287 + ... + 343593.

Almost surely, 2^105436080 is an apocalyptic number.

105436080 is a gapful number since it is divisible by the number (10) 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 105436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896).

105436080 is an abundant number, since it is smaller than the sum of its proper divisors (268883712).

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

105436080 is a wasteful number, since it uses less digits than its factorization.

105436080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105436080 is about 10268.2072437208. The cubic root of 105436080 is about 472.4216045295.

The spelling of 105436080 in words is "one hundred five million, four hundred thirty-six thousand, eighty".