105133680 has 80 divisors (see below), whose sum is σ = 362134560. Its totient is φ = 28035072.

The previous prime is 105133673. The next prime is 105133697. The reversal of 105133680 is 86331501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105133680² = 22106181340684800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22177 + ... + 26496.

It is an arithmetic number, because the mean of its divisors is an integer number (4526682).

Almost surely, 2^105133680 is an apocalyptic number.

105133680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105133680 is an abundant number, since it is smaller than the sum of its proper divisors (257000880).

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

105133680 is a wasteful number, since it uses less digits than its factorization.

105133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48695 (or 48683 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105133680 is about 10253.4716072167. The cubic root of 105133680 is about 471.9695230729.

The spelling of 105133680 in words is "one hundred five million, one hundred thirty-three thousand, six hundred eighty".