105904260 has 288 divisors, whose sum is σ = 416812032. Its totient is φ = 21928320.

The previous prime is 105904243. The next prime is 105904273. The reversal of 105904260 is 62409501.

105904260 is a `hidden beast` number, since 10 + 590 + 4 + 2 + 60 = 666.

It is a super-2 number, since 2×105904260² = 22431424572295200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374079 + ... + 374361.

It is an arithmetic number, because the mean of its divisors is an integer number (1447264).

Almost surely, 2^105904260 is an apocalyptic number.

105904260 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 105904260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208406016).

105904260 is an abundant number, since it is smaller than the sum of its proper divisors (310907772).

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

105904260 is a wasteful number, since it uses less digits than its factorization.

105904260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

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

The square root of 105904260 is about 10290.9795452134. The cubic root of 105904260 is about 473.1198214885.

The spelling of 105904260 in words is "one hundred five million, nine hundred four thousand, two hundred sixty".