105408680 has 96 divisors (see below), whose sum is σ = 265628160. Its totient is φ = 37589760.

The previous prime is 105408647. The next prime is 105408683. The reversal of 105408680 is 86804501.

It is a super-2 number, since 2×105408680² = 22221979638684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105408683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209309 + ... + 209811.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^105408680 is an apocalyptic number.

105408680 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 105408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132814080).

105408680 is an abundant number, since it is smaller than the sum of its proper divisors (160219480).

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

105408680 is a wasteful number, since it uses less digits than its factorization.

105408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 105408680 is about 10266.8729416507. The cubic root of 105408680 is about 472.3806777632.

The spelling of 105408680 in words is "one hundred five million, four hundred eight thousand, six hundred eighty".