105904680 has 256 divisors, whose sum is σ = 387072000. Its totient is φ = 23143680.

The previous prime is 105904637. The next prime is 105904691. The reversal of 105904680 is 86409501.

It is a Cunningham number, because it is equal to 10291²-1.

It is a super-2 number, since 2×105904680² = 22431602491804800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275919 + ... + 1276001.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^105904680 is an apocalyptic number.

105904680 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 105904680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

105904680 is an abundant number, since it is smaller than the sum of its proper divisors (281167320).

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

105904680 is a wasteful number, since it uses less digits than its factorization.

105904680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105904680 is about 10290.9999514139. Note that the first 4 decimals coincide. The cubic root of 105904680 is about 473.1204469279.

The spelling of 105904680 in words is "one hundred five million, nine hundred four thousand, six hundred eighty".